Atkin-Lehner |
2- 3+ 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97008o |
Isogeny class |
Conductor |
97008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6021120 |
Modular degree for the optimal curve |
Δ |
3.0422161033529E+21 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 -4 -4 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15212040,-22676706576] |
[a1,a2,a3,a4,a6] |
Generators |
[11860:1210368:1] |
Generators of the group modulo torsion |
j |
95044320221412519799561/742728540857647104 |
j-invariant |
L |
3.5133997127649 |
L(r)(E,1)/r! |
Ω |
0.07648166455326 |
Real period |
R |
5.7422255160228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999996334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12126d1 |
Quadratic twists by: -4 |