Atkin-Lehner |
3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525y |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
303360 |
Modular degree for the optimal curve |
Δ |
-2663125070907675 = -1 · 3 · 52 · 1110 · 372 |
Discriminant |
Eigenvalues |
-2 3- 5+ 5 11+ -1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-85878,-10028416] |
[a1,a2,a3,a4,a6] |
j |
-2801783191555747840/106525002836307 |
j-invariant |
L |
2.2261321021339 |
L(r)(E,1)/r! |
Ω |
0.13913325638351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575bm1 30525q1 |
Quadratic twists by: -3 5 |