Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
26450j |
Isogeny class |
Conductor |
26450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
1361930178800000000 = 210 · 58 · 237 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 -5 7 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-304450,31936500] |
[a1,a2,a3,a4,a6] |
Generators |
[-13380:218290:27] |
Generators of the group modulo torsion |
j |
53969305/23552 |
j-invariant |
L |
5.5694761061392 |
L(r)(E,1)/r! |
Ω |
0.24375673631785 |
Real period |
R |
1.9040417748281 |
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 |
26450u1 1150c1 |
Quadratic twists by: 5 -23 |