Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700bc |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30551040 |
Modular degree for the optimal curve |
Δ |
-1.6599848819516E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-744566333,-7822640835537] |
[a1,a2,a3,a4,a6] |
Generators |
[974999966095691726230690611005678:319958908376955517990891508058468375:8495161382150518404568846391] |
Generators of the group modulo torsion |
j |
-91298552696935473963008/33199697639031399 |
j-invariant |
L |
7.5816789330927 |
L(r)(E,1)/r! |
Ω |
0.014450545336103 |
Real period |
R |
43.721988552171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77700j1 |
Quadratic twists by: 5 |