Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410be |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-405138285090 = -1 · 2 · 33 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1691,15002] |
[a1,a2,a3,a4,a6] |
j |
2496791/1890 |
j-invariant |
L |
0.6058662879429 |
L(r)(E,1)/r! |
Ω |
0.6058662879427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
76230fc1 127050fr1 25410cn1 |
Quadratic twists by: -3 5 -11 |