Atkin-Lehner |
2- 3+ 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470be |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-28956949355520 = -1 · 210 · 310 · 5 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7385,-82723] |
[a1,a2,a3,a4,a6] |
Generators |
[411:8314:1] |
Generators of the group modulo torsion |
j |
44542186868244239/28956949355520 |
j-invariant |
L |
8.8142133855013 |
L(r)(E,1)/r! |
Ω |
0.37900728978695 |
Real period |
R |
2.3256052384786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410c1 |
Quadratic twists by: -3 |