Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550do |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
372 |
Product of Tamagawa factors cp |
deg |
3928320 |
Modular degree for the optimal curve |
Δ |
4.10630750208E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 -5 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-872930,-58870303] |
[a1,a2,a3,a4,a6] |
Generators |
[-831:10015:1] [-431:15615:1] |
Generators of the group modulo torsion |
j |
6974895484951875/3893387853824 |
j-invariant |
L |
16.556144654832 |
L(r)(E,1)/r! |
Ω |
0.16767966647165 |
Real period |
R |
0.2654213605362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550s1 116550h1 |
Quadratic twists by: -3 5 |