Atkin-Lehner |
5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
28325f |
Isogeny class |
Conductor |
28325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-4868359375 = -1 · 58 · 112 · 103 |
Discriminant |
Eigenvalues |
1 2 5- -1 11+ 5 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,50,3375] |
[a1,a2,a3,a4,a6] |
Generators |
[102:1577:27] |
Generators of the group modulo torsion |
j |
34295/12463 |
j-invariant |
L |
8.9037881460382 |
L(r)(E,1)/r! |
Ω |
1.0625157306815 |
Real period |
R |
4.1899559173243 |
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 |
28325a1 |
Quadratic twists by: 5 |