Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700k |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1713600 |
Modular degree for the optimal curve |
Δ |
-595492514540000000 = -1 · 28 · 57 · 75 · 116 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 11- -3 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96800,-35271500] |
[a1,a2,a3,a4,a6] |
Generators |
[245:1775:1] |
Generators of the group modulo torsion |
j |
14155776/84035 |
j-invariant |
L |
2.4622305966623 |
L(r)(E,1)/r! |
Ω |
0.14512056334191 |
Real period |
R |
4.2416983069411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16940c1 700d1 |
Quadratic twists by: 5 -11 |