Atkin-Lehner |
2+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93058g |
Isogeny class |
Conductor |
93058 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6893568 |
Modular degree for the optimal curve |
Δ |
-7.9448594431322E+21 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12511249,-17570082795] |
[a1,a2,a3,a4,a6] |
Generators |
[88445611796066497089856005898318965:-3757852133497216621750693982118954758:17755225796066278539403220700375] |
Generators of the group modulo torsion |
j |
-8972887872541465657/329149113696256 |
j-invariant |
L |
8.4943250901167 |
L(r)(E,1)/r! |
Ω |
0.040050687459883 |
Real period |
R |
53.022342628638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474b1 |
Quadratic twists by: 17 |