Atkin-Lehner |
3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715x |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2900880 |
Modular degree for the optimal curve |
Δ |
-6144770335840875 = -1 · 35 · 53 · 178 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ -2 -4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2346776,-1384531120] |
[a1,a2,a3,a4,a6] |
Generators |
[23320:3553360:1] |
Generators of the group modulo torsion |
j |
-204902586486784/880875 |
j-invariant |
L |
2.8101951218411 |
L(r)(E,1)/r! |
Ω |
0.060989001332607 |
Real period |
R |
9.2154159064408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000202295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125715r1 |
Quadratic twists by: 17 |