Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350cf |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5193216 |
Modular degree for the optimal curve |
Δ |
-1.3985060142104E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 1 0 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4171923,-4650288219] |
[a1,a2,a3,a4,a6] |
Generators |
[8915667:458883024:4913] |
Generators of the group modulo torsion |
j |
88124154817223482651/153471167540232192 |
j-invariant |
L |
5.2375598310121 |
L(r)(E,1)/r! |
Ω |
0.065813551711744 |
Real period |
R |
9.9477229446992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450cz1 91350fm1 |
Quadratic twists by: -3 5 |