Atkin-Lehner |
2+ 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330h |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
234360 |
Modular degree for the optimal curve |
Δ |
-2866020352000 = -1 · 221 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8717,-327331] |
[a1,a2,a3,a4,a6] |
j |
-87117759592081/3407872000 |
j-invariant |
L |
0.7394305627669 |
L(r)(E,1)/r! |
Ω |
0.24647695898572 |
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 |
109330x1 |
Quadratic twists by: 29 |