Atkin-Lehner |
2- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
113740b |
Isogeny class |
Conductor |
113740 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
428400 |
Modular degree for the optimal curve |
Δ |
2664427744000 = 28 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 11- -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12463,-529738] |
[a1,a2,a3,a4,a6] |
Generators |
[-3511599:1445842:59319] |
Generators of the group modulo torsion |
j |
472058064/5875 |
j-invariant |
L |
13.860965226549 |
L(r)(E,1)/r! |
Ω |
0.45218983171877 |
Real period |
R |
10.217659463775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940b1 |
Quadratic twists by: -11 |