Atkin-Lehner |
2+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103400c |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
-121110352000000 = -1 · 210 · 56 · 115 · 47 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 11+ 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69608,-7111712] |
[a1,a2,a3,a4,a6] |
Generators |
[404:5556:1] |
Generators of the group modulo torsion |
j |
-2331242411908/7569397 |
j-invariant |
L |
3.1046345898405 |
L(r)(E,1)/r! |
Ω |
0.14693315902885 |
Real period |
R |
5.2823927595848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998977425 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4136e1 |
Quadratic twists by: 5 |