Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544h |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-1820338575326208 = -1 · 210 · 38 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27032,-1143680] |
[a1,a2,a3,a4,a6] |
Generators |
[48:512:1] [54:686:1] |
Generators of the group modulo torsion |
j |
18132345500/15109983 |
j-invariant |
L |
9.271827179642 |
L(r)(E,1)/r! |
Ω |
0.25975912134387 |
Real period |
R |
4.4617428314739 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272bm1 15792h1 |
Quadratic twists by: -4 -7 |