Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37696i |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-38291898368 = -1 · 221 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 1 -2 -5 -4 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,831,2207] |
[a1,a2,a3,a4,a6] |
Generators |
[13:124:1] |
Generators of the group modulo torsion |
j |
241804367/146072 |
j-invariant |
L |
3.4255934069113 |
L(r)(E,1)/r! |
Ω |
0.70745205964349 |
Real period |
R |
1.2105390606386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37696j1 1178c1 |
Quadratic twists by: -4 8 |