Atkin-Lehner |
2+ 5+ 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
70150a |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
77184 |
Modular degree for the optimal curve |
Δ |
-5042031250 = -1 · 2 · 57 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 0 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2401,45198] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-26:1] [-18:296:1] |
Generators of the group modulo torsion |
j |
-97908438529/322690 |
j-invariant |
L |
4.5732611233265 |
L(r)(E,1)/r! |
Ω |
1.3702482515876 |
Real period |
R |
0.4171927530284 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14030d1 |
Quadratic twists by: 5 |