Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950de |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
264270050000000 = 27 · 58 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 1 11- 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29305,1772697] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:306:1] [69:240:1] |
Generators of the group modulo torsion |
j |
486635985/46208 |
j-invariant |
L |
17.389128967126 |
L(r)(E,1)/r! |
Ω |
0.53676755523784 |
Real period |
R |
0.25711121834093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999973536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950h1 114950br1 |
Quadratic twists by: 5 -11 |