Atkin-Lehner |
2- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
90640i |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4765842266521600 = -1 · 217 · 52 · 113 · 1033 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26856,3737456] |
[a1,a2,a3,a4,a6] |
j |
-523002686860009/1163535709600 |
j-invariant |
L |
3.0784494236238 |
L(r)(E,1)/r! |
Ω |
0.38480617644627 |
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 |
11330f1 |
Quadratic twists by: -4 |