Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600by |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
79692609024000 = 212 · 33 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32993,-2255343] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:196:1] |
Generators of the group modulo torsion |
j |
65939264/1323 |
j-invariant |
L |
3.6327877365377 |
L(r)(E,1)/r! |
Ω |
0.35466848081194 |
Real period |
R |
1.2803462571019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600hz2 117600ic2 16800ba2 |
Quadratic twists by: -4 5 -7 |