Atkin-Lehner |
3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025bf |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
411486328125 = 36 · 59 · 172 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2550,38781] |
[a1,a2,a3,a4,a6] |
Generators |
[370:1121:8] [-19:283:1] |
Generators of the group modulo torsion |
j |
557056/125 |
j-invariant |
L |
8.8740751902125 |
L(r)(E,1)/r! |
Ω |
0.89135155599524 |
Real period |
R |
1.2444690215845 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7225a1 13005m1 65025bw1 |
Quadratic twists by: -3 5 17 |