Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cc |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3410079750000 = -1 · 24 · 311 · 56 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5025,-163375] |
[a1,a2,a3,a4,a6] |
Generators |
[169:1953:1] |
Generators of the group modulo torsion |
j |
-76995328/18711 |
j-invariant |
L |
6.37105179188 |
L(r)(E,1)/r! |
Ω |
0.27993012515854 |
Real period |
R |
3.7932393470987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100h1 2772i1 |
Quadratic twists by: -3 5 |