Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950bd |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-143363219612800 = -1 · 27 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 11- 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19726,-1213632] |
[a1,a2,a3,a4,a6] |
Generators |
[376:6487:1] |
Generators of the group modulo torsion |
j |
-19165185625/3236992 |
j-invariant |
L |
2.4467365044003 |
L(r)(E,1)/r! |
Ω |
0.19958052921124 |
Real period |
R |
6.1296974179397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950do1 10450ba1 |
Quadratic twists by: 5 -11 |