Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79376h |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1546813685296 = -1 · 24 · 119 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 1 11- -2 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51062,4441547] |
[a1,a2,a3,a4,a6] |
Generators |
[1826:17303:8] |
Generators of the group modulo torsion |
j |
-519446808576/54571 |
j-invariant |
L |
7.445721902092 |
L(r)(E,1)/r! |
Ω |
0.812226779968 |
Real period |
R |
2.2917620072422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39688i1 7216b1 |
Quadratic twists by: -4 -11 |