Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200h |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-21875000000 = -1 · 26 · 511 · 7 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 -7 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,217,6937] |
[a1,a2,a3,a4,a6] |
Generators |
[72:625:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
2.9979493298645 |
L(r)(E,1)/r! |
Ω |
0.90164672482758 |
Real period |
R |
0.83124278259808 |
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 |
11200t1 5600m1 100800dr1 2240b1 |
Quadratic twists by: -4 8 -3 5 |