Atkin-Lehner |
2- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
85162be |
Isogeny class |
Conductor |
85162 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-280538275864 = -1 · 23 · 79 · 11 · 79 |
Discriminant |
Eigenvalues |
2- 2 3 7- 11- -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,636,24989] |
[a1,a2,a3,a4,a6] |
Generators |
[3828:32011:64] |
Generators of the group modulo torsion |
j |
704969/6952 |
j-invariant |
L |
18.480025573883 |
L(r)(E,1)/r! |
Ω |
0.71709445674416 |
Real period |
R |
4.2951165384518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85162bf1 |
Quadratic twists by: -7 |