Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400fy |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-8378271911116800 = -1 · 219 · 34 · 52 · 72 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-502488,-137338092] |
[a1,a2,a3,a4,a6] |
Generators |
[1299:37464:1] |
Generators of the group modulo torsion |
j |
-137025597360350785/81819061632 |
j-invariant |
L |
8.0998093212142 |
L(r)(E,1)/r! |
Ω |
0.089654586102581 |
Real period |
R |
5.6465386179017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550h1 92400fi1 |
Quadratic twists by: -4 5 |