Atkin-Lehner |
7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
38437g |
Isogeny class |
Conductor |
38437 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3838464 |
Modular degree for the optimal curve |
Δ |
1.5498007223212E+23 |
Discriminant |
Eigenvalues |
0 2 -3 7- 4 3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27842067,53288517127] |
[a1,a2,a3,a4,a6] |
Generators |
[-2323:324691:1] |
Generators of the group modulo torsion |
j |
98885957283487055872/6420699293790341 |
j-invariant |
L |
6.0937472706083 |
L(r)(E,1)/r! |
Ω |
0.1007415413218 |
Real period |
R |
4.3206373108373 |
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 |
2261b1 |
Quadratic twists by: 17 |