Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
19530bt |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-8072588790000 = -1 · 24 · 312 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2137,130767] |
[a1,a2,a3,a4,a6] |
j |
1481154154199/11073510000 |
j-invariant |
L |
4.3014819395772 |
L(r)(E,1)/r! |
Ω |
0.53768524244715 |
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 |
6510e1 97650r1 |
Quadratic twists by: -3 5 |