Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fb |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.0400317773438E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10906992,-22619680488] |
[a1,a2,a3,a4,a6] |
Generators |
[27832649044527759798:-2102041468677173270779:6333884118630648] |
Generators of the group modulo torsion |
j |
152461584507448/322998046875 |
j-invariant |
L |
6.2779654734413 |
L(r)(E,1)/r! |
Ω |
0.05042897519849 |
Real period |
R |
31.122808966875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600hd2 23520v2 16800bt4 |
Quadratic twists by: -4 5 -7 |