Atkin-Lehner |
2+ 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674k |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-1.2105892142758E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5390523,5101120741] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:78725:1] |
Generators of the group modulo torsion |
j |
-23762325430118066146993/1660616206139584512 |
j-invariant |
L |
3.7536521517758 |
L(r)(E,1)/r! |
Ω |
0.15106835216361 |
Real period |
R |
0.38824025039986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558n1 |
Quadratic twists by: -3 |