Atkin-Lehner |
3- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
73425m |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
617472 |
Modular degree for the optimal curve |
Δ |
-35986464421875 = -1 · 33 · 56 · 112 · 893 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 11- -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-154858,-23509181] |
[a1,a2,a3,a4,a6] |
Generators |
[144564046:7333520489:54872] |
Generators of the group modulo torsion |
j |
-26284966548631552/2303133723 |
j-invariant |
L |
16.885599617369 |
L(r)(E,1)/r! |
Ω |
0.12033269149152 |
Real period |
R |
11.693690916555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2937a1 |
Quadratic twists by: 5 |