Atkin-Lehner |
7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36113d |
Isogeny class |
Conductor |
36113 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
8075520 |
Modular degree for the optimal curve |
Δ |
-2.7857379939299E+25 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48082931,-219136659500] |
[a1,a2,a3,a4,a6] |
Generators |
[98126746381683255:-31141930023083398129:981811403019] |
Generators of the group modulo torsion |
j |
104498072547106119367023/236783822550971263183 |
j-invariant |
L |
4.0327966571717 |
L(r)(E,1)/r! |
Ω |
0.034501156767275 |
Real period |
R |
19.481456251717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5159d1 |
Quadratic twists by: -7 |