Atkin-Lehner |
2+ 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130be |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-2.4955614282773E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-990414,-849555584] |
[a1,a2,a3,a4,a6] |
j |
-913240480275030601/2121192214364160 |
j-invariant |
L |
1.6965608104764 |
L(r)(E,1)/r! |
Ω |
0.070690009786167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16590d1 |
Quadratic twists by: -7 |