Atkin-Lehner |
2+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150l |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
243200 |
Modular degree for the optimal curve |
Δ |
-4465664000000000 = -1 · 219 · 59 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 1 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-339326,76120048] |
[a1,a2,a3,a4,a6] |
Generators |
[502:5436:1] |
Generators of the group modulo torsion |
j |
-2212296061660901/2286419968 |
j-invariant |
L |
4.3379989641066 |
L(r)(E,1)/r! |
Ω |
0.43390291146761 |
Real period |
R |
2.4994064625159 |
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 |
31150be1 |
Quadratic twists by: 5 |