Atkin-Lehner |
2- 5- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
91630by |
Isogeny class |
Conductor |
91630 |
Conductor |
∏ cp |
680 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
186830291845120000 = 217 · 54 · 72 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -3 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-417880,101838400] |
[a1,a2,a3,a4,a6] |
Generators |
[300:-2020:1] |
Generators of the group modulo torsion |
j |
164695773844880654929/3812863098880000 |
j-invariant |
L |
13.236199794947 |
L(r)(E,1)/r! |
Ω |
0.31890617447759 |
Real period |
R |
0.061036760133678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91630bk1 |
Quadratic twists by: -7 |