Atkin-Lehner |
2+ 3+ 5+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35670b |
Isogeny class |
Conductor |
35670 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-1155708000 = -1 · 25 · 35 · 53 · 29 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,217,1173] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
1121946206471/1155708000 |
j-invariant |
L |
2.8957295865314 |
L(r)(E,1)/r! |
Ω |
1.0192237047666 |
Real period |
R |
2.8411128714811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107010v1 |
Quadratic twists by: -3 |