Atkin-Lehner |
2+ 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794r |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
4982432472 = 23 · 34 · 194 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1452,-21134] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:27:1] |
Generators of the group modulo torsion |
j |
2595249577/38232 |
j-invariant |
L |
6.1041300165767 |
L(r)(E,1)/r! |
Ω |
0.77416090598214 |
Real period |
R |
1.9712084240975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127794bc1 |
Quadratic twists by: -19 |