Atkin-Lehner |
2- 3+ 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178bc |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-5362231644 = -1 · 22 · 33 · 7 · 113 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,436,-437] |
[a1,a2,a3,a4,a6] |
j |
340214574141/198601172 |
j-invariant |
L |
4.8053640178107 |
L(r)(E,1)/r! |
Ω |
0.80089401973007 |
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 |
101178b1 |
Quadratic twists by: -3 |