Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800fq |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
2037468266496000 = 218 · 314 · 53 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1281315,-558249950] |
[a1,a2,a3,a4,a6] |
Generators |
[-871706:27198:1331] |
Generators of the group modulo torsion |
j |
623295446073461/5458752 |
j-invariant |
L |
4.5558803915409 |
L(r)(E,1)/r! |
Ω |
0.14190111412688 |
Real period |
R |
8.0265056753878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5850z1 15600cy1 46800ez1 |
Quadratic twists by: -4 -3 5 |