Atkin-Lehner |
2+ 3+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69936a |
Isogeny class |
Conductor |
69936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7492663296 = 211 · 34 · 312 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1912,-31280] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2790:1] |
Generators of the group modulo torsion |
j |
377645701106/3658527 |
j-invariant |
L |
5.2482554555351 |
L(r)(E,1)/r! |
Ω |
0.72237491744119 |
Real period |
R |
3.6326395957102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34968d2 |
Quadratic twists by: -4 |