Atkin-Lehner |
2+ 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410f |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-97132098801600 = -1 · 26 · 38 · 52 · 194 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43200,3499200] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-1305:1] [-144:2664:1] |
Generators of the group modulo torsion |
j |
-12230749717171201/133240190400 |
j-invariant |
L |
7.2703434799327 |
L(r)(E,1)/r! |
Ω |
0.60230459933385 |
Real period |
R |
0.75442968233702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470bn1 |
Quadratic twists by: -3 |