Atkin-Lehner |
2- 3+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
13542h |
Isogeny class |
Conductor |
13542 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-256283108352 = -1 · 210 · 34 · 373 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -1 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1588,749] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2569:1] |
Generators of the group modulo torsion |
j |
442851493301567/256283108352 |
j-invariant |
L |
6.2446607049091 |
L(r)(E,1)/r! |
Ω |
0.58769423211587 |
Real period |
R |
0.17709494619411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108336ba1 40626g1 |
Quadratic twists by: -4 -3 |