Atkin-Lehner |
2- 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618bw |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-4067372522304 = -1 · 26 · 37 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 2 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9899,-395431] |
[a1,a2,a3,a4,a6] |
Generators |
[22105:220166:125] |
Generators of the group modulo torsion |
j |
-911826451873/34572096 |
j-invariant |
L |
11.606633230985 |
L(r)(E,1)/r! |
Ω |
0.23878465192602 |
Real period |
R |
8.101185968988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1482i1 |
Quadratic twists by: -7 |