Atkin-Lehner |
2+ 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
88350bc |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
20908800 |
Modular degree for the optimal curve |
Δ |
2.0907729412949E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-42182526,79242750448] |
[a1,a2,a3,a4,a6] |
j |
531253029832977785488849/133809468242876651520 |
j-invariant |
L |
1.7025497555508 |
L(r)(E,1)/r! |
Ω |
0.077388628104993 |
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 |
17670k1 |
Quadratic twists by: 5 |