Atkin-Lehner |
2- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240j |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
493760204800 = 212 · 52 · 194 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 5 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2421,30179] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:1805:8] |
Generators of the group modulo torsion |
j |
383290015744/120546925 |
j-invariant |
L |
6.7724949873043 |
L(r)(E,1)/r! |
Ω |
0.8614740042857 |
Real period |
R |
1.9653799631598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3515a1 |
Quadratic twists by: -4 |