Atkin-Lehner |
2- 5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99760j |
Isogeny class |
Conductor |
99760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-377766379520 = -1 · 215 · 5 · 29 · 433 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,344,-29584] |
[a1,a2,a3,a4,a6] |
j |
1095912791/92228120 |
j-invariant |
L |
0.90574261479199 |
L(r)(E,1)/r! |
Ω |
0.45287140578203 |
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 |
12470b1 |
Quadratic twists by: -4 |