Atkin-Lehner |
2+ 3+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368h |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-32393972736 = -1 · 210 · 33 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -3 3 -4 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261,8506] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-246:1] |
Generators of the group modulo torsion |
j |
71118324/1171657 |
j-invariant |
L |
5.1666239236273 |
L(r)(E,1)/r! |
Ω |
0.86945400839903 |
Real period |
R |
0.24759906179854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50184d1 100368a1 |
Quadratic twists by: -4 -3 |