Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25350bj |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-49708590810937500 = -1 · 22 · 3 · 58 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-179651,31194698] |
[a1,a2,a3,a4,a6] |
Generators |
[317:2316:1] |
Generators of the group modulo torsion |
j |
-3869893/300 |
j-invariant |
L |
5.3518973875832 |
L(r)(E,1)/r! |
Ω |
0.34980086869657 |
Real period |
R |
3.8249600462154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050fg1 5070o1 25350db1 |
Quadratic twists by: -3 5 13 |