Atkin-Lehner |
2- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36704f |
Isogeny class |
Conductor |
36704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7936 |
Modular degree for the optimal curve |
Δ |
-73408 = -1 · 26 · 31 · 37 |
Discriminant |
Eigenvalues |
2- -2 -4 -3 2 -1 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70,204] |
[a1,a2,a3,a4,a6] |
Generators |
[4:2:1] [-7:20:1] |
Generators of the group modulo torsion |
j |
-601211584/1147 |
j-invariant |
L |
4.2019010752829 |
L(r)(E,1)/r! |
Ω |
3.4553933684515 |
Real period |
R |
0.60802065455803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36704b1 73408l1 |
Quadratic twists by: -4 8 |