Atkin-Lehner |
2+ 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670h |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1225481227165440 = -1 · 28 · 37 · 5 · 76 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4778,-1691052] |
[a1,a2,a3,a4,a6] |
Generators |
[233548:5935154:343] |
Generators of the group modulo torsion |
j |
-102568953241/10416418560 |
j-invariant |
L |
3.9288147507898 |
L(r)(E,1)/r! |
Ω |
0.21494208519129 |
Real period |
R |
9.1392403362446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1830d1 |
Quadratic twists by: -7 |