Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650eg |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
412876800 |
Modular degree for the optimal curve |
Δ |
-2.2809801247632E+32 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2932273355,729205657469147] |
[a1,a2,a3,a4,a6] |
Generators |
[761649:663196600:1] |
Generators of the group modulo torsion |
j |
-244787659433411960540612449/20025065567193750000000000 |
j-invariant |
L |
10.267287812936 |
L(r)(E,1)/r! |
Ω |
0.014549610578502 |
Real period |
R |
8.8209300800808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550z1 19530y1 |
Quadratic twists by: -3 5 |