Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430bl |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2615866690500 = 22 · 36 · 53 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3488,16031] |
[a1,a2,a3,a4,a6] |
Generators |
[-426:1973:8] |
Generators of the group modulo torsion |
j |
6435893935801/3588294500 |
j-invariant |
L |
8.9765504849382 |
L(r)(E,1)/r! |
Ω |
0.70160581959239 |
Real period |
R |
2.1323821805794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4270d1 |
Quadratic twists by: -3 |