Atkin-Lehner |
2- 3+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640x |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
-41333760 = -1 · 210 · 33 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -5 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,-314] |
[a1,a2,a3,a4,a6] |
Generators |
[35:204:1] |
Generators of the group modulo torsion |
j |
-78732/1495 |
j-invariant |
L |
7.3368879127079 |
L(r)(E,1)/r! |
Ω |
0.8773100291892 |
Real period |
R |
2.0907340681997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107640c1 |
Quadratic twists by: -3 |