Atkin-Lehner |
2+ 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
79430g |
Isogeny class |
Conductor |
79430 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
72595207360 = 26 · 5 · 136 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 3 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6088,181846] |
[a1,a2,a3,a4,a6] |
Generators |
[41:19:1] |
Generators of the group modulo torsion |
j |
5168743489/15040 |
j-invariant |
L |
4.8400494011215 |
L(r)(E,1)/r! |
Ω |
1.0965644527153 |
Real period |
R |
2.2069151452552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
470d1 |
Quadratic twists by: 13 |