Atkin-Lehner |
2- 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822ba |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-4269784057613949672 = -1 · 23 · 313 · 75 · 172 · 413 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 3 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-870179,328089291] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:20712:1] |
Generators of the group modulo torsion |
j |
-99958909769534803177/5857042603036968 |
j-invariant |
L |
11.77290568971 |
L(r)(E,1)/r! |
Ω |
0.24265574709973 |
Real period |
R |
2.0215376831093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29274f1 |
Quadratic twists by: -3 |