Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912h |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-20022592475676672 = -1 · 214 · 315 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1913973,1019843181] |
[a1,a2,a3,a4,a6] |
j |
-47327266415721472000/1222082060283 |
j-invariant |
L |
0.35692680446584 |
L(r)(E,1)/r! |
Ω |
0.35692680446701 |
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 |
30912bz1 1932b1 92736ci1 |
Quadratic twists by: -4 8 -3 |