Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800r |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-1561842700000000 = -1 · 28 · 58 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 11+ -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12167,-1833963] |
[a1,a2,a3,a4,a6] |
Generators |
[5988:21675:64] |
Generators of the group modulo torsion |
j |
1991767040/15618427 |
j-invariant |
L |
8.8379910686113 |
L(r)(E,1)/r! |
Ω |
0.23627713284027 |
Real period |
R |
2.4936793395908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37400i1 74800c1 |
Quadratic twists by: -4 5 |