Atkin-Lehner |
2- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
62846i |
Isogeny class |
Conductor |
62846 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5385600 |
Modular degree for the optimal curve |
Δ |
-6.9885741636551E+21 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1636334,-4102675925] |
[a1,a2,a3,a4,a6] |
Generators |
[4168688567708315:851011395805258515:99445904137] |
Generators of the group modulo torsion |
j |
-5356619222473/77257341952 |
j-invariant |
L |
11.723930171752 |
L(r)(E,1)/r! |
Ω |
0.056857527111466 |
Real period |
R |
20.61983833641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
938b1 |
Quadratic twists by: -67 |