Atkin-Lehner |
2- 5+ 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
97850l |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
20966400 |
Modular degree for the optimal curve |
Δ |
-4.276933478E+21 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 0 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32900880,72713589747] |
[a1,a2,a3,a4,a6] |
Generators |
[3709:-43055:1] |
Generators of the group modulo torsion |
j |
-252072933942505866629769/273723742592000000 |
j-invariant |
L |
4.6857731300597 |
L(r)(E,1)/r! |
Ω |
0.13777929278185 |
Real period |
R |
0.32701220858193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19570b1 |
Quadratic twists by: 5 |