Atkin-Lehner |
2+ 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710q |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
22770963950 = 2 · 52 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -5 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-907,7239] |
[a1,a2,a3,a4,a6] |
Generators |
[3:66:1] |
Generators of the group modulo torsion |
j |
14338681/3950 |
j-invariant |
L |
5.7835470474138 |
L(r)(E,1)/r! |
Ω |
1.1222960595109 |
Real period |
R |
2.576658359619 |
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 |
38710l1 |
Quadratic twists by: -7 |