Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25584r |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
124992 |
Modular degree for the optimal curve |
Δ |
1427294273842944 = 28 · 321 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 -3 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36652,2009884] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1726:1] |
Generators of the group modulo torsion |
j |
21271035361447888/5575368257199 |
j-invariant |
L |
2.4114378853523 |
L(r)(E,1)/r! |
Ω |
0.44829016240384 |
Real period |
R |
5.3791898363809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6396f1 102336cc1 76752ck1 |
Quadratic twists by: -4 8 -3 |