Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103600bh |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-72520000000000 = -1 · 212 · 510 · 72 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9792,-166412] |
[a1,a2,a3,a4,a6] |
j |
2595575/1813 |
j-invariant |
L |
1.3880416029601 |
L(r)(E,1)/r! |
Ω |
0.34701033009385 |
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 |
6475c1 103600cg1 |
Quadratic twists by: -4 5 |