Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bw |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-229765925571875000 = -1 · 23 · 58 · 73 · 118 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124088,28495281] |
[a1,a2,a3,a4,a6] |
Generators |
[655:14797:1] |
Generators of the group modulo torsion |
j |
-63088729/68600 |
j-invariant |
L |
6.0892806745092 |
L(r)(E,1)/r! |
Ω |
0.28505869371116 |
Real period |
R |
0.59337494044039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470i1 42350w1 |
Quadratic twists by: 5 -11 |