Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800u |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
3676531250000 = 24 · 59 · 76 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4083,38338] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:125:1] |
Generators of the group modulo torsion |
j |
2048 |
j-invariant |
L |
2.5661177013345 |
L(r)(E,1)/r! |
Ω |
0.70009230040383 |
Real period |
R |
1.832699559654 |
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 |
19600bl1 78400fi1 88200im1 9800bp1 |
Quadratic twists by: -4 8 -3 5 |