Atkin-Lehner |
5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
91295c |
Isogeny class |
Conductor |
91295 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
444416 |
Modular degree for the optimal curve |
Δ |
2511764105263745 = 5 · 19 · 319 |
Discriminant |
Eigenvalues |
-1 -2 5+ 4 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49031,3408880] |
[a1,a2,a3,a4,a6] |
Generators |
[3309225:23226422:15625] |
Generators of the group modulo torsion |
j |
493039/95 |
j-invariant |
L |
2.5883421374618 |
L(r)(E,1)/r! |
Ω |
0.43411898551568 |
Real period |
R |
11.924574622602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91295b1 |
Quadratic twists by: -31 |