Atkin-Lehner |
3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431f |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
2621852336673297 = 35 · 76 · 136 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35578,-791146] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:1362:1] |
Generators of the group modulo torsion |
j |
1031831907625/543185433 |
j-invariant |
L |
3.1146331449108 |
L(r)(E,1)/r! |
Ω |
0.36869487930213 |
Real period |
R |
2.8159085102101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
399a1 |
Quadratic twists by: 13 |