Atkin-Lehner |
2+ 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842m |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-87650480238849504 = -1 · 25 · 315 · 292 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -6 2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,97155,-8211803] |
[a1,a2,a3,a4,a6] |
Generators |
[329:7535:1] |
Generators of the group modulo torsion |
j |
139119861838693679/120233854922976 |
j-invariant |
L |
2.6254827438102 |
L(r)(E,1)/r! |
Ω |
0.18741330707034 |
Real period |
R |
3.5022629727472 |
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 |
10614h1 |
Quadratic twists by: -3 |