Atkin-Lehner |
2+ 3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117150bc |
Isogeny class |
Conductor |
117150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-120583571315625000 = -1 · 23 · 34 · 58 · 113 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11+ 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-235951,-47191702] |
[a1,a2,a3,a4,a6] |
Generators |
[2889163030:94750313039:2197000] |
Generators of the group modulo torsion |
j |
-3719002740975625/308693942568 |
j-invariant |
L |
7.0233911201775 |
L(r)(E,1)/r! |
Ω |
0.10779704364737 |
Real period |
R |
16.288459403769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117150bi2 |
Quadratic twists by: 5 |