Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326l |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
498960 |
Modular degree for the optimal curve |
Δ |
-30421071567227264 = -1 · 27 · 72 · 1111 · 17 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 11+ 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7219700,-7467273614] |
[a1,a2,a3,a4,a6] |
Generators |
[1624749366377455617019978331947537556661205674508063224220656998227116420:50876996778224413695320027349432920588730329260215581958718802852647588331:451751938626751866983752929324638693132720103903618426638524763336823] |
Generators of the group modulo torsion |
j |
-849346694202331430775817/620838195249536 |
j-invariant |
L |
5.2468529905212 |
L(r)(E,1)/r! |
Ω |
0.04605107357654 |
Real period |
R |
113.93551947927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18326b1 |
Quadratic twists by: -7 |