Atkin-Lehner |
2- 5- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113900j |
Isogeny class |
Conductor |
113900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20544 |
Modular degree for the optimal curve |
Δ |
-38726000 = -1 · 24 · 53 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 1 5- 1 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,-307] |
[a1,a2,a3,a4,a6] |
j |
-340736/19363 |
j-invariant |
L |
3.5980124139243 |
L(r)(E,1)/r! |
Ω |
0.89950310194104 |
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 |
113900h1 |
Quadratic twists by: 5 |