Atkin-Lehner |
2- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
13420f |
Isogeny class |
Conductor |
13420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
406080 |
Modular degree for the optimal curve |
Δ |
-40954589843750000 = -1 · 24 · 518 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -3 5+ -1 11- 2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5186773,4546686097] |
[a1,a2,a3,a4,a6] |
j |
-964484946807151601090304/2559661865234375 |
j-invariant |
L |
0.62882749405636 |
L(r)(E,1)/r! |
Ω |
0.31441374702818 |
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 |
53680t1 120780w1 67100l1 |
Quadratic twists by: -4 -3 5 |