Atkin-Lehner |
5+ 11- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
120175k |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
154368 |
Modular degree for the optimal curve |
Δ |
-9388671875 = -1 · 59 · 11 · 19 · 23 |
Discriminant |
Eigenvalues |
2 -3 5+ 2 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,425,-3219] |
[a1,a2,a3,a4,a6] |
Generators |
[580:2343:64] |
Generators of the group modulo torsion |
j |
543338496/600875 |
j-invariant |
L |
8.9258192512086 |
L(r)(E,1)/r! |
Ω |
0.69949687595633 |
Real period |
R |
3.1900854607977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24035d1 |
Quadratic twists by: 5 |