Atkin-Lehner |
7- 29+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
103733c |
Isogeny class |
Conductor |
103733 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
598000102133 = 710 · 29 · 73 |
Discriminant |
Eigenvalues |
0 2 2 7- 5 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11727,-483491] |
[a1,a2,a3,a4,a6] |
Generators |
[-7854950:4510601:125000] |
Generators of the group modulo torsion |
j |
1516118966272/5082917 |
j-invariant |
L |
10.365890518223 |
L(r)(E,1)/r! |
Ω |
0.45886748374062 |
Real period |
R |
11.295080716653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14819a1 |
Quadratic twists by: -7 |