Atkin-Lehner |
2- 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610bf |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
1425408 |
Modular degree for the optimal curve |
Δ |
-7.5565719046168E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1635737,907773689] |
[a1,a2,a3,a4,a6] |
Generators |
[-1401:21868:1] |
Generators of the group modulo torsion |
j |
-663951516514444694089/103656679075676160 |
j-invariant |
L |
8.6500479124126 |
L(r)(E,1)/r! |
Ω |
0.18687218073428 |
Real period |
R |
1.4465181291337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9870e1 |
Quadratic twists by: -3 |