Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600de |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
9005442705000000000 = 29 · 37 · 510 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125023500408,17015100987713688] |
[a1,a2,a3,a4,a6] |
Generators |
[1683706:-39772419:8] |
Generators of the group modulo torsion |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
8.7297081252684 |
L(r)(E,1)/r! |
Ω |
0.057022410575515 |
Real period |
R |
10.93518453279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600bc4 23520bf4 16800i2 |
Quadratic twists by: -4 5 -7 |