Atkin-Lehner |
2+ 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878b |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1354942512 = 24 · 33 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12528,542864] |
[a1,a2,a3,a4,a6] |
Generators |
[59:51:1] [-4:772:1] |
Generators of the group modulo torsion |
j |
8054242132333851/50183056 |
j-invariant |
L |
5.5368413073844 |
L(r)(E,1)/r! |
Ω |
1.3569589300164 |
Real period |
R |
0.51004134916201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31878y2 |
Quadratic twists by: -3 |