Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118404d |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-509552212598999856 = -1 · 24 · 316 · 114 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63384,-33790435] |
[a1,a2,a3,a4,a6] |
Generators |
[52188546644:31794931113451:140608] |
Generators of the group modulo torsion |
j |
2414432842022912/43685889283179 |
j-invariant |
L |
5.244824995646 |
L(r)(E,1)/r! |
Ω |
0.14307055066478 |
Real period |
R |
18.3295057429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39468c1 |
Quadratic twists by: -3 |