Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.0739362476337E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4033759,10377896865] |
[a1,a2,a3,a4,a6] |
Generators |
[87816:26030043:1] |
Generators of the group modulo torsion |
j |
27689398696638536759/193555307298039120 |
j-invariant |
L |
6.538072614991 |
L(r)(E,1)/r! |
Ω |
0.081865840507277 |
Real period |
R |
9.9829069987426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057703 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ii3 3570p4 |
Quadratic twists by: -4 8 |