Atkin-Lehner |
3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18837t |
Isogeny class |
Conductor |
18837 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-10680579 = -1 · 36 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2 3- -1 7- 3 13- -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,157] |
[a1,a2,a3,a4,a6] |
Generators |
[34:115:8] |
Generators of the group modulo torsion |
j |
-4096/14651 |
j-invariant |
L |
9.7805815357314 |
L(r)(E,1)/r! |
Ω |
1.8297533131476 |
Real period |
R |
2.6726503145133 |
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 |
2093i1 |
Quadratic twists by: -3 |