Atkin-Lehner |
2+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
80080k |
Isogeny class |
Conductor |
80080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
30964693760000 = 211 · 54 · 7 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37547,2787514] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:1300:1] |
Generators of the group modulo torsion |
j |
2858376862781442/15119479375 |
j-invariant |
L |
5.4921544938538 |
L(r)(E,1)/r! |
Ω |
0.66319529385539 |
Real period |
R |
1.0351691548503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40040s4 |
Quadratic twists by: -4 |