Atkin-Lehner |
3+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
60225i |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
1242140625 = 32 · 56 · 112 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4625,-123000] |
[a1,a2,a3,a4,a6] |
Generators |
[7030:204385:8] |
Generators of the group modulo torsion |
j |
700463661841/79497 |
j-invariant |
L |
5.6169152121661 |
L(r)(E,1)/r! |
Ω |
0.57891173331746 |
Real period |
R |
4.8512708317444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2409e1 |
Quadratic twists by: 5 |