Atkin-Lehner |
2+ 3+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606b |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-5465628 = -1 · 22 · 32 · 7 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,39,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:7:1] [0:9:1] |
Generators of the group modulo torsion |
j |
6300872423/5465628 |
j-invariant |
L |
4.9133666320594 |
L(r)(E,1)/r! |
Ω |
1.5667942321411 |
Real period |
R |
1.5679680621955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818bc1 |
Quadratic twists by: -3 |