Atkin-Lehner |
2- 3+ 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130r |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-2063616750 = -1 · 2 · 36 · 53 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 5 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1365,-20103] |
[a1,a2,a3,a4,a6] |
j |
-281281747415761/2063616750 |
j-invariant |
L |
4.7105942250035 |
L(r)(E,1)/r! |
Ω |
0.39254951875031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78390o1 |
Quadratic twists by: -3 |