Atkin-Lehner |
2- 3+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31434n |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-2285902621920996 = -1 · 22 · 36 · 138 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-725605,-238215697] |
[a1,a2,a3,a4,a6] |
Generators |
[15111:1847050:1] |
Generators of the group modulo torsion |
j |
-51793794721201/2802276 |
j-invariant |
L |
8.1888106407036 |
L(r)(E,1)/r! |
Ω |
0.081788657463371 |
Real period |
R |
4.1717330244167 |
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 |
94302t1 31434a1 |
Quadratic twists by: -3 13 |