Atkin-Lehner |
3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
22725j |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
1150453125 = 36 · 56 · 101 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 2 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,1156] |
[a1,a2,a3,a4,a6] |
Generators |
[4:4:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
4.6845675947212 |
L(r)(E,1)/r! |
Ω |
1.406440113992 |
Real period |
R |
1.665398884786 |
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 |
2525a1 909c1 |
Quadratic twists by: -3 5 |