Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240x |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16095760128000 = 211 · 38 · 53 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335667,-74853074] |
[a1,a2,a3,a4,a6] |
Generators |
[1782:70610:1] |
Generators of the group modulo torsion |
j |
2801509972976738/10780875 |
j-invariant |
L |
7.8361089916235 |
L(r)(E,1)/r! |
Ω |
0.19834556457441 |
Real period |
R |
6.5845594674415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080z2 |
Quadratic twists by: -3 |