Atkin-Lehner |
2+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600l |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-25270000 = -1 · 24 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -3 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,1113] |
[a1,a2,a3,a4,a6] |
Generators |
[23:95:1] [-12:45:1] |
Generators of the group modulo torsion |
j |
-100000000/2527 |
j-invariant |
L |
5.6293510604389 |
L(r)(E,1)/r! |
Ω |
2.1177165470123 |
Real period |
R |
0.22151812008636 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200bh1 26600ba1 |
Quadratic twists by: -4 5 |