Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30600bt |
Isogeny class |
Conductor |
30600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-669222000000000 = -1 · 210 · 39 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10125,-1181250] |
[a1,a2,a3,a4,a6] |
j |
2916/17 |
j-invariant |
L |
0.51140980013218 |
L(r)(E,1)/r! |
Ω |
0.25570490006449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61200s1 30600g1 30600h1 |
Quadratic twists by: -4 -3 5 |