Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800w |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-107200000000 = -1 · 212 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-800,-18000] |
[a1,a2,a3,a4,a6] |
Generators |
[1505:58375:1] |
Generators of the group modulo torsion |
j |
-884736/1675 |
j-invariant |
L |
4.8342652568596 |
L(r)(E,1)/r! |
Ω |
0.42260854133401 |
Real period |
R |
5.7195546043623 |
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 |
1675a1 107200br1 5360n1 |
Quadratic twists by: -4 8 5 |