Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990h |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-4.2485723722875E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,644717,971744173] |
[a1,a2,a3,a4,a6] |
Generators |
[498162:-67987193:27] |
Generators of the group modulo torsion |
j |
251907898698209879/3611226931200000 |
j-invariant |
L |
2.1364973786757 |
L(r)(E,1)/r! |
Ω |
0.12436493030415 |
Real period |
R |
8.5896296224771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970do1 124950hs1 3570m1 |
Quadratic twists by: -3 5 -7 |