Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280r |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-16263797760 = -1 · 210 · 33 · 5 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-6174] |
[a1,a2,a3,a4,a6] |
Generators |
[25:76:1] |
Generators of the group modulo torsion |
j |
-108/5 |
j-invariant |
L |
5.6411262227475 |
L(r)(E,1)/r! |
Ω |
0.54206334785301 |
Real period |
R |
2.6016914098191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640br1 35280d1 720a1 |
Quadratic twists by: -4 -3 -7 |