Atkin-Lehner |
2+ 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450x |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
83328 |
Modular degree for the optimal curve |
Δ |
-8495748686250 = -1 · 2 · 314 · 54 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5075,-15425] |
[a1,a2,a3,a4,a6] |
j |
23121612385175/13593197898 |
j-invariant |
L |
1.7264120029734 |
L(r)(E,1)/r! |
Ω |
0.4316030007435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91350fs1 30450cq1 |
Quadratic twists by: -3 5 |