Atkin-Lehner |
11- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
88451b |
Isogeny class |
Conductor |
88451 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
-54179797302749393 = -1 · 119 · 172 · 433 |
Discriminant |
Eigenvalues |
1 3 -2 2 11- -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20653,-11251894] |
[a1,a2,a3,a4,a6] |
Generators |
[5509410:218638148:3375] |
Generators of the group modulo torsion |
j |
-549957165057/30583083113 |
j-invariant |
L |
12.275904657498 |
L(r)(E,1)/r! |
Ω |
0.15549325951134 |
Real period |
R |
6.5790122201604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003068 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8041a1 |
Quadratic twists by: -11 |