Atkin-Lehner |
3+ 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725f |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
44203125 = 3 · 56 · 23 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5+ 3 4 0 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-133,543] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] |
Generators of the group modulo torsion |
j |
16777216/2829 |
j-invariant |
L |
5.5291560490672 |
L(r)(E,1)/r! |
Ω |
1.932931633715 |
Real period |
R |
2.8605026443406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829f1 |
Quadratic twists by: 5 |