Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800bn |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
762921281250000 = 24 · 38 · 59 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88950,10124125] |
[a1,a2,a3,a4,a6] |
Generators |
[246:1769:1] |
Generators of the group modulo torsion |
j |
427065051136/4186125 |
j-invariant |
L |
5.8860012458215 |
L(r)(E,1)/r! |
Ω |
0.50740286012536 |
Real period |
R |
2.9000631028655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899244 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36600h1 21960b1 |
Quadratic twists by: -3 5 |