Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bt |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
3999151699200 = 28 · 37 · 52 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7320,-221020] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:126:1] |
Generators of the group modulo torsion |
j |
9297141760/857157 |
j-invariant |
L |
6.1720890204815 |
L(r)(E,1)/r! |
Ω |
0.51919217885554 |
Real period |
R |
0.19813116313337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35700m1 107100by1 |
Quadratic twists by: -3 5 |