Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280o |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2391774428332800 = -1 · 28 · 33 · 52 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2793,2352294] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1470:1] |
Generators of the group modulo torsion |
j |
2963088/2941225 |
j-invariant |
L |
5.906972655335 |
L(r)(E,1)/r! |
Ω |
0.35884400347928 |
Real period |
R |
2.0576394610411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640bq2 35280a2 5040a2 |
Quadratic twists by: -4 -3 -7 |