Atkin-Lehner |
5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
22385f |
Isogeny class |
Conductor |
22385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
24785245615625 = 55 · 118 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-291028,60501862] |
[a1,a2,a3,a4,a6] |
Generators |
[320:93:1] |
Generators of the group modulo torsion |
j |
1538758717863849/13990625 |
j-invariant |
L |
2.504217315248 |
L(r)(E,1)/r! |
Ω |
0.60573120213756 |
Real period |
R |
4.1342055789943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111925f1 2035a1 |
Quadratic twists by: 5 -11 |