Atkin-Lehner |
3+ 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80475a |
Isogeny class |
Conductor |
80475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14244232177734375 = -1 · 3 · 516 · 292 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32400,6151875] |
[a1,a2,a3,a4,a6] |
Generators |
[382:17183:8] |
Generators of the group modulo torsion |
j |
-240746321795329/911630859375 |
j-invariant |
L |
4.8464485186758 |
L(r)(E,1)/r! |
Ω |
0.34582268956666 |
Real period |
R |
7.0071291870282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906684 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16095c2 |
Quadratic twists by: 5 |