Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525cj |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
14983013759765625 = 34 · 510 · 77 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-343026,-77132177] |
[a1,a2,a3,a4,a6] |
j |
2428257525121/8150625 |
j-invariant |
L |
3.1570071988978 |
L(r)(E,1)/r! |
Ω |
0.19731295353534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905c1 12075i1 |
Quadratic twists by: 5 -7 |