Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640cb |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3266979427123200 = -1 · 217 · 39 · 52 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 -7 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18213,-2582134] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5920:1] |
Generators of the group modulo torsion |
j |
223759095911/1094104800 |
j-invariant |
L |
6.1087547774248 |
L(r)(E,1)/r! |
Ω |
0.22528056376961 |
Real period |
R |
0.56492101404645 |
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 |
3330ba1 106560ei1 8880o1 |
Quadratic twists by: -4 8 -3 |