Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850fc |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3787382812500000 = -1 · 25 · 36 · 513 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15755,-3053253] |
[a1,a2,a3,a4,a6] |
j |
-37966934881/332500000 |
j-invariant |
L |
3.7359113189515 |
L(r)(E,1)/r! |
Ω |
0.18679556594814 |
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 |
6650f1 11970p1 |
Quadratic twists by: -3 5 |