Atkin-Lehner |
2- 3+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31302k |
Isogeny class |
Conductor |
31302 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13248 |
Modular degree for the optimal curve |
Δ |
-514229256 = -1 · 23 · 33 · 373 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 0 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,196,-313] |
[a1,a2,a3,a4,a6] |
Generators |
[67:523:1] |
Generators of the group modulo torsion |
j |
30988732221/19045528 |
j-invariant |
L |
7.3321046380638 |
L(r)(E,1)/r! |
Ω |
0.95466340395892 |
Real period |
R |
3.8401517265969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
31302b2 |
Quadratic twists by: -3 |