Atkin-Lehner |
2- 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550cm |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
1248 |
Product of Tamagawa factors cp |
deg |
250398720 |
Modular degree for the optimal curve |
Δ |
5.5105844929389E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41345759088,-3233941711804719] |
[a1,a2,a3,a4,a6] |
j |
500260940707947616544004758689849/352677407548090456473600000 |
j-invariant |
L |
3.3034274899673 |
L(r)(E,1)/r! |
Ω |
0.010587908774309 |
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 |
14910p1 |
Quadratic twists by: 5 |