Atkin-Lehner |
3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425ba |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
314497252125 = 36 · 53 · 7 · 793 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -3 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-73785,-7714319] |
[a1,a2,a3,a4,a6] |
j |
487517731057664/3451273 |
j-invariant |
L |
4.6347623304379 |
L(r)(E,1)/r! |
Ω |
0.28967280097693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13825g1 124425v1 |
Quadratic twists by: -3 5 |