Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bn |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.7867216179262E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1125178833,14528949285537] |
[a1,a2,a3,a4,a6] |
Generators |
[827147407:114369405500:68921] |
Generators of the group modulo torsion |
j |
-167382537005851712/18983603961 |
j-invariant |
L |
5.850286525273 |
L(r)(E,1)/r! |
Ω |
0.066347154419187 |
Real period |
R |
11.022112694815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600hu2 117600hs2 16800w2 |
Quadratic twists by: -4 5 -7 |