Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bs |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
95148130580015625 = 38 · 56 · 79 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-633947,-193553454] |
[a1,a2,a3,a4,a6] |
Generators |
[-444:714:1] |
Generators of the group modulo torsion |
j |
328523283207001/1109390625 |
j-invariant |
L |
4.1826402866277 |
L(r)(E,1)/r! |
Ω |
0.16922890849998 |
Real period |
R |
4.1193122417518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905b1 7245j1 |
Quadratic twists by: -3 -7 |