Atkin-Lehner |
3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
72963h |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
585090297 = 38 · 113 · 67 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11+ 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1211,-15870] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1269:1] |
Generators of the group modulo torsion |
j |
202262003/603 |
j-invariant |
L |
3.1384024634453 |
L(r)(E,1)/r! |
Ω |
0.80950469573796 |
Real period |
R |
3.8769416392981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24321a1 72963g1 |
Quadratic twists by: -3 -11 |