Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38760p |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
24854850000 = 24 · 34 · 55 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17651,-896724] |
[a1,a2,a3,a4,a6] |
Generators |
[824:23310:1] |
Generators of the group modulo torsion |
j |
38013361752745984/1553428125 |
j-invariant |
L |
4.7253137690325 |
L(r)(E,1)/r! |
Ω |
0.41419632425109 |
Real period |
R |
5.7041956825379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520u1 116280u1 |
Quadratic twists by: -4 -3 |