Atkin-Lehner |
2- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101840g |
Isogeny class |
Conductor |
101840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
297600 |
Modular degree for the optimal curve |
Δ |
-1117926195200000 = -1 · 222 · 55 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8357,-1581558] |
[a1,a2,a3,a4,a6] |
j |
15758503432911/272931200000 |
j-invariant |
L |
0.47700922557337 |
L(r)(E,1)/r! |
Ω |
0.2385044667497 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12730e1 |
Quadratic twists by: -4 |