Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59488t |
Isogeny class |
Conductor |
59488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
470374931147264 = 29 · 114 · 137 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30251,1735630] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:1690:1] |
Generators of the group modulo torsion |
j |
1238833224/190333 |
j-invariant |
L |
2.0722255038431 |
L(r)(E,1)/r! |
Ω |
0.50371495387207 |
Real period |
R |
2.0569426097076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001498 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59488n3 118976bv4 4576a3 |
Quadratic twists by: -4 8 13 |