Atkin-Lehner |
2+ 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434b |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
87394126525056 = 27 · 33 · 138 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1144133,470568909] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:26214:1] |
Generators of the group modulo torsion |
j |
203051883774649/107136 |
j-invariant |
L |
3.4110119668992 |
L(r)(E,1)/r! |
Ω |
0.49631248351927 |
Real period |
R |
6.8727103995295 |
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 |
94302bv1 31434o1 |
Quadratic twists by: -3 13 |