Atkin-Lehner |
2- 3+ 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bd |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3735552 |
Modular degree for the optimal curve |
Δ |
5.5993151448781E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2369333,-1356196823] |
[a1,a2,a3,a4,a6] |
j |
74732680157358500523/2844746809367500 |
j-invariant |
L |
1.9515501853748 |
L(r)(E,1)/r! |
Ω |
0.12197188903554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570g1 |
Quadratic twists by: -3 |