Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990o |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-131197500 = -1 · 22 · 32 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-347,2409] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:53:1] [13:-24:1] |
Generators of the group modulo torsion |
j |
-13532315887/382500 |
j-invariant |
L |
5.336348081074 |
L(r)(E,1)/r! |
Ω |
1.8437986885317 |
Real period |
R |
0.36177675701978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cp1 124950hr1 24990x1 |
Quadratic twists by: -3 5 -7 |