Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dl |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
-2.883477718528E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11- -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1826208,1253510912] |
[a1,a2,a3,a4,a6] |
Generators |
[3536:197472:1] |
Generators of the group modulo torsion |
j |
-420973434058945/180217357408 |
j-invariant |
L |
10.627804703937 |
L(r)(E,1)/r! |
Ω |
0.1622190956621 |
Real period |
R |
1.1699129874987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350bj1 74800bz1 |
Quadratic twists by: -4 5 |