Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800bj |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
171360 |
Modular degree for the optimal curve |
Δ |
5649504980000000000 = 211 · 510 · 710 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500208,74086412] |
[a1,a2,a3,a4,a6] |
Generators |
[-64867632605869526:3547264532079475227:262562013991304] |
Generators of the group modulo torsion |
j |
2450 |
j-invariant |
L |
6.3010320828106 |
L(r)(E,1)/r! |
Ω |
0.21793127307049 |
Real period |
R |
28.912932017667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19600ba1 78400cx1 88200cu1 9800t1 |
Quadratic twists by: -4 8 -3 5 |