Atkin-Lehner |
2+ 3- 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810m |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-597705442953840 = -1 · 24 · 316 · 5 · 133 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9331,-1123144] |
[a1,a2,a3,a4,a6] |
j |
89861814677119031/597705442953840 |
j-invariant |
L |
2.0570654990534 |
L(r)(E,1)/r! |
Ω |
0.25713318738186 |
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 |
92430br1 |
Quadratic twists by: -3 |