Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dg |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
232925000000 = 26 · 58 · 7 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ 1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1583,6463] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:25:1] |
Generators of the group modulo torsion |
j |
17559040/9317 |
j-invariant |
L |
5.1005260419372 |
L(r)(E,1)/r! |
Ω |
0.86895504260651 |
Real period |
R |
1.9565745558495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200cz1 61600ba1 123200c1 |
Quadratic twists by: -4 8 5 |