Atkin-Lehner |
2+ 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
57350f |
Isogeny class |
Conductor |
57350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1620000 |
Modular degree for the optimal curve |
Δ |
-9063452410018750000 = -1 · 24 · 58 · 315 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 2 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2852117,1860317541] |
[a1,a2,a3,a4,a6] |
Generators |
[1238:14403:1] |
Generators of the group modulo torsion |
j |
-6568493505109142985/23202438169648 |
j-invariant |
L |
5.0790666293776 |
L(r)(E,1)/r! |
Ω |
0.23210946047085 |
Real period |
R |
3.6470340467227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57350k1 |
Quadratic twists by: 5 |