Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320o |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2971484643029760 = -1 · 28 · 38 · 5 · 115 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2839,-2621085] |
[a1,a2,a3,a4,a6] |
j |
9881592513536/11607361886835 |
j-invariant |
L |
1.6798139689721 |
L(r)(E,1)/r! |
Ω |
0.20997674612361 |
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 |
17160p1 102960br1 |
Quadratic twists by: -4 -3 |