Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850cq |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-233454375000000 = -1 · 26 · 32 · 510 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,15374,46148] |
[a1,a2,a3,a4,a6] |
j |
74991286313/43560000 |
j-invariant |
L |
2.6848482500512 |
L(r)(E,1)/r! |
Ω |
0.3356060313731 |
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 |
16170bu1 80850v1 |
Quadratic twists by: 5 -7 |