Atkin-Lehner |
2+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30256d |
Isogeny class |
Conductor |
30256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-60027904 = -1 · 210 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ -2 -1 3 -3 5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,388] |
[a1,a2,a3,a4,a6] |
Generators |
[16:62:1] |
Generators of the group modulo torsion |
j |
-19307236/58621 |
j-invariant |
L |
4.1498552184747 |
L(r)(E,1)/r! |
Ω |
1.7358946407267 |
Real period |
R |
0.59765367106865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15128b1 121024w1 |
Quadratic twists by: -4 8 |