Atkin-Lehner |
2- 5- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bk |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1491840 |
Modular degree for the optimal curve |
Δ |
-179584504963676120 = -1 · 23 · 5 · 78 · 112 · 235 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11+ 1 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65220,-21400163] |
[a1,a2,a3,a4,a6] |
Generators |
[10679620:376045561:8000] |
Generators of the group modulo torsion |
j |
-5322089719681/31151900120 |
j-invariant |
L |
9.7340794764806 |
L(r)(E,1)/r! |
Ω |
0.13379185916657 |
Real period |
R |
12.12589917198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999083292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123970v1 |
Quadratic twists by: -7 |