Atkin-Lehner |
2- 7+ 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32452c |
Isogeny class |
Conductor |
32452 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
34320 |
Modular degree for the optimal curve |
Δ |
16916708368 = 24 · 7 · 195 · 61 |
Discriminant |
Eigenvalues |
2- 3 2 7+ 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-649,1157] |
[a1,a2,a3,a4,a6] |
j |
1889460511488/1057294273 |
j-invariant |
L |
5.3331628703169 |
L(r)(E,1)/r! |
Ω |
1.0666325740628 |
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 |
129808k1 |
Quadratic twists by: -4 |