Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
30576f |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
1611561649152 = 210 · 3 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3544,-52352] |
[a1,a2,a3,a4,a6] |
j |
119164/39 |
j-invariant |
L |
1.2698215546724 |
L(r)(E,1)/r! |
Ω |
0.63491077733696 |
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 |
15288be1 122304ii1 91728y1 30576bb1 |
Quadratic twists by: -4 8 -3 -7 |