Atkin-Lehner |
2- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
68890f |
Isogeny class |
Conductor |
68890 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2677248 |
Modular degree for the optimal curve |
Δ |
-3603667571422465600 = -1 · 26 · 52 · 838 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -6 5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,154859,-88257375] |
[a1,a2,a3,a4,a6] |
Generators |
[2350:113955:1] |
Generators of the group modulo torsion |
j |
182351/1600 |
j-invariant |
L |
3.4367102004502 |
L(r)(E,1)/r! |
Ω |
0.12356115748167 |
Real period |
R |
6.9534598701706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000605 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68890d1 |
Quadratic twists by: -83 |