Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103600ba |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-1916600000000000 = -1 · 212 · 511 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -1 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28133,-2790637] |
[a1,a2,a3,a4,a6] |
j |
-38477541376/29946875 |
j-invariant |
L |
0.71334429755809 |
L(r)(E,1)/r! |
Ω |
0.17833602503475 |
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 |
6475d1 20720r1 |
Quadratic twists by: -4 5 |