Atkin-Lehner |
2- 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350w |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
500 |
Product of Tamagawa factors cp |
deg |
4992000 |
Modular degree for the optimal curve |
Δ |
-4.0255705904693E+23 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -3 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62776478,193837066971] |
[a1,a2,a3,a4,a6] |
Generators |
[6321:219623:1] |
Generators of the group modulo torsion |
j |
-1094396116563311165946766345/16102282361877360017408 |
j-invariant |
L |
5.7803431277917 |
L(r)(E,1)/r! |
Ω |
0.094990923287137 |
Real period |
R |
3.0425765577198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
38350i2 |
Quadratic twists by: 5 |