Atkin-Lehner |
2- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127300d |
Isogeny class |
Conductor |
127300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-98502313343750000 = -1 · 24 · 59 · 196 · 67 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256258,-52078363] |
[a1,a2,a3,a4,a6] |
Generators |
[1243:39349:1] |
Generators of the group modulo torsion |
j |
-7444194215616256/394009253375 |
j-invariant |
L |
4.3306696127249 |
L(r)(E,1)/r! |
Ω |
0.10577057867041 |
Real period |
R |
3.4119992756636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999053388 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25460d1 |
Quadratic twists by: 5 |