Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550ed |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.0465509203631E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35814830,117729346047] |
[a1,a2,a3,a4,a6] |
Generators |
[2375909061301736869931675143656210885223876616229876070:153014082953962813876529210894484793422239595315663547107:796888041703679355755184792843466504411411967537000] |
Generators of the group modulo torsion |
j |
-446030778735169043473/267461260498268466 |
j-invariant |
L |
12.716921491908 |
L(r)(E,1)/r! |
Ω |
0.074128608312952 |
Real period |
R |
85.776070678543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850d3 4662i3 |
Quadratic twists by: -3 5 |