Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400m |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-39153587200 = -1 · 210 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,10172] |
[a1,a2,a3,a4,a6] |
Generators |
[3130:15324:125] |
Generators of the group modulo torsion |
j |
-2500/13 |
j-invariant |
L |
11.655141903154 |
L(r)(E,1)/r! |
Ω |
0.99667421968279 |
Real period |
R |
5.8470168233115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400cd1 2600b1 |
Quadratic twists by: 5 -7 |