Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
103092m |
Isogeny class |
Conductor |
103092 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-15404792946188976 = -1 · 24 · 34 · 119 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27911,-5686144] |
[a1,a2,a3,a4,a6] |
Generators |
[341:6603:1] |
Generators of the group modulo torsion |
j |
84831715328/543475251 |
j-invariant |
L |
6.451675258377 |
L(r)(E,1)/r! |
Ω |
0.19634859541545 |
Real period |
R |
2.7381892094174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928186 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9372g1 |
Quadratic twists by: -11 |