Atkin-Lehner |
2+ 3- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30702m |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39680 |
Modular degree for the optimal curve |
Δ |
-5391762432 = -1 · 210 · 3 · 74 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 6 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-284,-4006] |
[a1,a2,a3,a4,a6] |
j |
-2520453225529/5391762432 |
j-invariant |
L |
4.3616801109865 |
L(r)(E,1)/r! |
Ω |
0.54521001387298 |
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 |
92106ch1 |
Quadratic twists by: -3 |