Atkin-Lehner |
2- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
90640n |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-112306585600 = -1 · 215 · 52 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11- -3 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1763,32738] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-176:1] [-31:240:1] |
Generators of the group modulo torsion |
j |
-147951952569/27418600 |
j-invariant |
L |
9.3239257502088 |
L(r)(E,1)/r! |
Ω |
1.0120431768313 |
Real period |
R |
0.38387384563904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330a1 |
Quadratic twists by: -4 |