Atkin-Lehner |
2- 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81400v |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
90240 |
Modular degree for the optimal curve |
Δ |
-953421920000 = -1 · 28 · 54 · 115 · 37 |
Discriminant |
Eigenvalues |
2- -1 5- -4 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1508,52612] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-242:1] [-43:190:1] |
Generators of the group modulo torsion |
j |
-2371896400/5958887 |
j-invariant |
L |
7.7869994850351 |
L(r)(E,1)/r! |
Ω |
0.77961054453254 |
Real period |
R |
0.16647199766486 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81400e1 |
Quadratic twists by: 5 |