Atkin-Lehner |
3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425d |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
-78280668675 = -1 · 33 · 52 · 114 · 892 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 11- -3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-558,14573] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:975:8] |
Generators of the group modulo torsion |
j |
-769953280000/3131226747 |
j-invariant |
L |
8.9455987263221 |
L(r)(E,1)/r! |
Ω |
0.9469551646768 |
Real period |
R |
1.180837152813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73425r1 |
Quadratic twists by: 5 |