Atkin-Lehner |
2+ 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37446c |
Isogeny class |
Conductor |
37446 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-18666199534546548 = -1 · 22 · 35 · 797 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 -5 -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40696,-7310396] |
[a1,a2,a3,a4,a6] |
Generators |
[309:2966:1] [534:10850:1] |
Generators of the group modulo torsion |
j |
-30664297/76788 |
j-invariant |
L |
5.0483693060352 |
L(r)(E,1)/r! |
Ω |
0.15653469327691 |
Real period |
R |
4.0313501757591 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338t1 474b1 |
Quadratic twists by: -3 -79 |