Atkin-Lehner |
2+ 3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
91650a |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-4.115928121344E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8006525,8771080125] |
[a1,a2,a3,a4,a6] |
Generators |
[955:44210:1] |
Generators of the group modulo torsion |
j |
-3632753777288703591889/26341939976601600 |
j-invariant |
L |
3.3973537263654 |
L(r)(E,1)/r! |
Ω |
0.16904861475746 |
Real period |
R |
5.024225907647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18330bb1 |
Quadratic twists by: 5 |