Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
95874f |
Isogeny class |
Conductor |
95874 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
319967056282779648 = 220 · 33 · 19 · 296 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-296050,-55732732] |
[a1,a2,a3,a4,a6] |
Generators |
[-521224:-314036:1331] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
8.2958247679298 |
L(r)(E,1)/r! |
Ω |
0.20615506214224 |
Real period |
R |
6.7067839365655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114c1 |
Quadratic twists by: 29 |