Atkin-Lehner |
5- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128975o |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-1472033591875 = -1 · 54 · 74 · 114 · 67 |
Discriminant |
Eigenvalues |
2 0 5- 7- 11+ -2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-58925,-5505819] |
[a1,a2,a3,a4,a6] |
Generators |
[6450:173631:8] |
Generators of the group modulo torsion |
j |
-36202825616486400/2355253747 |
j-invariant |
L |
12.166288604649 |
L(r)(E,1)/r! |
Ω |
0.15321206499602 |
Real period |
R |
3.3086734322152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128975c1 |
Quadratic twists by: 5 |