Atkin-Lehner |
5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71485f |
Isogeny class |
Conductor |
71485 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
748200 |
Modular degree for the optimal curve |
Δ |
35760114830517085 = 5 · 17 · 2910 |
Discriminant |
Eigenvalues |
2 -1 5- 3 -4 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-235760,43189983] |
[a1,a2,a3,a4,a6] |
Generators |
[-3972596931311509976:107264268332860910917:11704504745134592] |
Generators of the group modulo torsion |
j |
3444736/85 |
j-invariant |
L |
11.416779367354 |
L(r)(E,1)/r! |
Ω |
0.36575847701788 |
Real period |
R |
31.213984322216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71485e1 |
Quadratic twists by: 29 |