Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370br |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-80030916000 = -1 · 25 · 34 · 53 · 72 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-251774,-48646384] |
[a1,a2,a3,a4,a6] |
j |
-36021168061314216361/1633284000 |
j-invariant |
L |
0.85252474436182 |
L(r)(E,1)/r! |
Ω |
0.10656560246103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104370l1 |
Quadratic twists by: -7 |