Atkin-Lehner |
2+ 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126f |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-6176689053469688754 = -1 · 2 · 39 · 78 · 115 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,333975,-93780793] |
[a1,a2,a3,a4,a6] |
Generators |
[331:7111:1] |
Generators of the group modulo torsion |
j |
36306906237/54435238 |
j-invariant |
L |
3.7911009646447 |
L(r)(E,1)/r! |
Ω |
0.12631262623667 |
Real period |
R |
0.50022724687453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998115929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126di1 126126s1 |
Quadratic twists by: -3 -7 |