Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950cw |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
186 |
Product of Tamagawa factors cp |
deg |
848160 |
Modular degree for the optimal curve |
Δ |
-4932352522321920000 = -1 · 231 · 36 · 54 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -5 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-205430,112753797] |
[a1,a2,a3,a4,a6] |
Generators |
[489:11115:1] |
Generators of the group modulo torsion |
j |
-2104290928515625/10825465069568 |
j-invariant |
L |
6.4110558516429 |
L(r)(E,1)/r! |
Ω |
0.21069338062665 |
Real period |
R |
0.16359337968102 |
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 |
3550h1 31950be1 |
Quadratic twists by: -3 5 |