Atkin-Lehner |
2+ 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954b |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
507150336 = 215 · 3 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-203,189] |
[a1,a2,a3,a4,a6] |
j |
932288503609/507150336 |
j-invariant |
L |
1.440242107495 |
L(r)(E,1)/r! |
Ω |
1.4402421074936 |
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 |
92862bi1 |
Quadratic twists by: -3 |