Atkin-Lehner |
3- 7+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
114471q |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4546560 |
Modular degree for the optimal curve |
Δ |
-3344619711929073291 = -1 · 39 · 74 · 23 · 795 |
Discriminant |
Eigenvalues |
-2 3- -3 7+ -5 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1389639,636633130] |
[a1,a2,a3,a4,a6] |
Generators |
[-784:35273:1] [1033:-17420:1] |
Generators of the group modulo torsion |
j |
-407100996887366029312/4587955709093379 |
j-invariant |
L |
3.6464257541496 |
L(r)(E,1)/r! |
Ω |
0.2521578435602 |
Real period |
R |
0.72304428381183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000016617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157a1 |
Quadratic twists by: -3 |