Atkin-Lehner |
2+ 3- 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
101970x |
Isogeny class |
Conductor |
101970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-9754386978600 = -1 · 23 · 316 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1089,151173] |
[a1,a2,a3,a4,a6] |
j |
-196021690129/13380503400 |
j-invariant |
L |
2.3985332072124 |
L(r)(E,1)/r! |
Ω |
0.59963326873515 |
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 |
33990be1 |
Quadratic twists by: -3 |