Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3536h |
Isogeny class |
Conductor |
3536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
6.9668725972834E+20 |
Discriminant |
Eigenvalues |
2- -2 4 4 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2319216,-485927468] |
[a1,a2,a3,a4,a6] |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
2.3222934132398 |
L(r)(E,1)/r! |
Ω |
0.12901630073554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442e1 14144v1 31824bh1 88400bs1 |
Quadratic twists by: -4 8 -3 5 |