Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560bj |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7877399040000 = 212 · 38 · 54 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40696,-3143504] |
[a1,a2,a3,a4,a6] |
Generators |
[610:14094:1] |
Generators of the group modulo torsion |
j |
1819824927790969/1923193125 |
j-invariant |
L |
4.9715015733423 |
L(r)(E,1)/r! |
Ω |
0.33615400542568 |
Real period |
R |
3.6973392284009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035g4 |
Quadratic twists by: -4 |