Atkin-Lehner |
5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13225o |
Isogeny class |
Conductor |
13225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
152951143126953125 = 59 · 238 |
Discriminant |
Eigenvalues |
-2 -2 5- -4 -3 4 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-506958,-137822256] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:312:1] |
Generators of the group modulo torsion |
j |
94208 |
j-invariant |
L |
1.159960506207 |
L(r)(E,1)/r! |
Ω |
0.17903377242675 |
Real period |
R |
3.2395019400086 |
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 |
119025cs1 13225k1 13225n1 |
Quadratic twists by: -3 5 -23 |