Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350y |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-20265136718750 = -1 · 2 · 512 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3500,-232250] |
[a1,a2,a3,a4,a6] |
Generators |
[495:10690:1] |
Generators of the group modulo torsion |
j |
-2509090441/10718750 |
j-invariant |
L |
3.279766626706 |
L(r)(E,1)/r! |
Ω |
0.28231338436529 |
Real period |
R |
0.96812230908905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bb1 42350by1 |
Quadratic twists by: 5 -11 |