Atkin-Lehner |
2- 3- 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650do |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-22389886771200 = -1 · 213 · 34 · 52 · 13 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8963,397377] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:-815:1] |
Generators of the group modulo torsion |
j |
-3185274912705625/895595470848 |
j-invariant |
L |
12.143153260272 |
L(r)(E,1)/r! |
Ω |
0.64315246814282 |
Real period |
R |
0.12102997330104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650v1 |
Quadratic twists by: 5 |