Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850t |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-690873300000000 = -1 · 28 · 312 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-185742,-30791084] |
[a1,a2,a3,a4,a6] |
Generators |
[7100:593546:1] |
Generators of the group modulo torsion |
j |
-2488672890625/2426112 |
j-invariant |
L |
2.9514329933071 |
L(r)(E,1)/r! |
Ω |
0.11497847206469 |
Real period |
R |
6.417360007286 |
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 |
46800ep1 1950r1 5850bp1 76050fs1 |
Quadratic twists by: -4 -3 5 13 |