Atkin-Lehner |
3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
73101b |
Isogeny class |
Conductor |
73101 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
-2657373619383 = -1 · 32 · 7 · 596 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3408,17161] |
[a1,a2,a3,a4,a6] |
Generators |
[3253769:-73057098:6859] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
5.7528697273133 |
L(r)(E,1)/r! |
Ω |
0.49757935690313 |
Real period |
R |
11.561713014891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21a4 |
Quadratic twists by: -59 |