Atkin-Lehner |
3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30129d |
Isogeny class |
Conductor |
30129 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
14556916737 = 32 · 117 · 83 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20754,1142142] |
[a1,a2,a3,a4,a6] |
j |
558051585337/8217 |
j-invariant |
L |
0.5708216763201 |
L(r)(E,1)/r! |
Ω |
1.1416433526412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90387r1 2739c1 |
Quadratic twists by: -3 -11 |