Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680h |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-238857645484800 = -1 · 28 · 317 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 4 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30900,2229300] |
[a1,a2,a3,a4,a6] |
j |
-44103737752144/3228504075 |
j-invariant |
L |
2.1856180511675 |
L(r)(E,1)/r! |
Ω |
0.54640451279026 |
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 |
69360bk1 104040cc1 34680u1 |
Quadratic twists by: -4 -3 17 |