Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800m |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-70000 = -1 · 24 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -5 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-13] |
[a1,a2,a3,a4,a6] |
Generators |
[7:15:1] |
Generators of the group modulo torsion |
j |
-6400/7 |
j-invariant |
L |
4.3331825717827 |
L(r)(E,1)/r! |
Ω |
1.3470299267728 |
Real period |
R |
1.0722806983619 |
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 |
1400n1 11200dh1 25200cm1 2800e1 |
Quadratic twists by: -4 8 -3 5 |