Atkin-Lehner |
3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31059m |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
359040 |
Modular degree for the optimal curve |
Δ |
-1823887534252825377 = -1 · 317 · 73 · 175 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -5 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-288635,88301148] |
[a1,a2,a3,a4,a6] |
Generators |
[476:7416:1] |
Generators of the group modulo torsion |
j |
-3647890145166891625/2501903339167113 |
j-invariant |
L |
3.1540704722277 |
L(r)(E,1)/r! |
Ω |
0.24356566028823 |
Real period |
R |
1.0791308007374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10353e1 |
Quadratic twists by: -3 |