Atkin-Lehner |
5+ 11+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
120175a |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
1727515625 = 56 · 11 · 19 · 232 |
Discriminant |
Eigenvalues |
1 -2 5+ 4 11+ -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301,123] |
[a1,a2,a3,a4,a6] |
Generators |
[37:181:1] |
Generators of the group modulo torsion |
j |
192100033/110561 |
j-invariant |
L |
5.5539863081965 |
L(r)(E,1)/r! |
Ω |
1.2723061926046 |
Real period |
R |
2.1826453338941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999262703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4807a1 |
Quadratic twists by: 5 |