Atkin-Lehner |
2- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
56650bf |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-603209200000000 = -1 · 210 · 58 · 114 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- 3 11- 1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-34388,2709781] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1557:1] |
Generators of the group modulo torsion |
j |
-11512912950625/1544215552 |
j-invariant |
L |
15.404062242874 |
L(r)(E,1)/r! |
Ω |
0.49895305430967 |
Real period |
R |
0.25727307258312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56650f1 |
Quadratic twists by: 5 |