Atkin-Lehner |
2+ 3+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184l |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-1250194176 = -1 · 28 · 37 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11+ -1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1372,-19184] |
[a1,a2,a3,a4,a6] |
j |
-1116509913808/4883571 |
j-invariant |
L |
0.78418927399725 |
L(r)(E,1)/r! |
Ω |
0.39209472081192 |
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 |
53592y1 |
Quadratic twists by: -4 |