Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
78694x |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
453600 |
Modular degree for the optimal curve |
Δ |
132467332969048 = 23 · 710 · 11 · 732 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11- -3 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-259358,-50944125] |
[a1,a2,a3,a4,a6] |
Generators |
[-391215:265095:1331] |
Generators of the group modulo torsion |
j |
6830340624625/468952 |
j-invariant |
L |
7.9120731982529 |
L(r)(E,1)/r! |
Ω |
0.21155652412799 |
Real period |
R |
6.2332224052031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78694n1 |
Quadratic twists by: -7 |