Atkin-Lehner |
2- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600o |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12359600000000 = 210 · 58 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8075,-222250] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:114:1] [155:1500:1] |
Generators of the group modulo torsion |
j |
3639412836/772475 |
j-invariant |
L |
11.700988284159 |
L(r)(E,1)/r! |
Ω |
0.51119557805084 |
Real period |
R |
5.722363800083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23320b2 |
Quadratic twists by: 5 |