Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255ba |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
6.6369145354309E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11- 3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-37699473,88228128609] |
[a1,a2,a3,a4,a6] |
Generators |
[25186:218291:8] |
Generators of the group modulo torsion |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
10.249684563777 |
L(r)(E,1)/r! |
Ω |
0.11053448490445 |
Real period |
R |
2.5757885455479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085t1 121275cv1 24255bz1 |
Quadratic twists by: -3 5 -7 |