Atkin-Lehner |
2+ 3- 5+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390k |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
14309456977209600 = 28 · 310 · 52 · 314 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-61695,1306125] |
[a1,a2,a3,a4,a6] |
Generators |
[21:129:1] |
Generators of the group modulo torsion |
j |
35624604302215921/19628884742400 |
j-invariant |
L |
5.0327958450295 |
L(r)(E,1)/r! |
Ω |
0.34365147178999 |
Real period |
R |
1.8306322941578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130be1 |
Quadratic twists by: -3 |