Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280v |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
1394620657920 = 28 · 33 · 5 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3087,33614] |
[a1,a2,a3,a4,a6] |
Generators |
[65:328:1] |
Generators of the group modulo torsion |
j |
11664/5 |
j-invariant |
L |
5.7066513836526 |
L(r)(E,1)/r! |
Ω |
0.77071814714601 |
Real period |
R |
3.7021649255205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640bw1 35280j1 35280k1 |
Quadratic twists by: -4 -3 -7 |