Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570de |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
8960 |
Product of Tamagawa factors cp |
deg |
103219200 |
Modular degree for the optimal curve |
Δ |
-2.3559289389148E+30 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638583975,74108773175625] |
[a1,a2,a3,a4,a6] |
Generators |
[-40050:5973525:1] |
Generators of the group modulo torsion |
j |
-244787659433411960540612449/20025065567193750000000000 |
j-invariant |
L |
12.403738060739 |
L(r)(E,1)/r! |
Ω |
0.0212984490374 |
Real period |
R |
0.25998996702066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510m1 |
Quadratic twists by: -7 |