Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600cg |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2529964800 = -1 · 28 · 33 · 52 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 3 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720,7820] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-22:1] |
Generators of the group modulo torsion |
j |
-238878720/14641 |
j-invariant |
L |
7.2804710293807 |
L(r)(E,1)/r! |
Ω |
1.4242183501048 |
Real period |
R |
0.31949415572614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9900a1 39600bz1 39600cu1 |
Quadratic twists by: -4 -3 5 |