Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3696r |
Isogeny class |
Conductor |
3696 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-4.5279375096659E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26808,-323744400] |
[a1,a2,a3,a4,a6] |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
1.842842867079 |
L(r)(E,1)/r! |
Ω |
0.092142143353949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462d1 14784ci1 11088bp1 92400gu1 |
Quadratic twists by: -4 8 -3 5 |