Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ep |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
deg |
31046400 |
Modular degree for the optimal curve |
Δ |
-1.4701658089346E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -3 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-290764576,-1908473613202] |
[a1,a2,a3,a4,a6] |
Generators |
[39577:6949811:1] |
Generators of the group modulo torsion |
j |
-32467337778980665/1755758592 |
j-invariant |
L |
6.7698099744236 |
L(r)(E,1)/r! |
Ω |
0.018280277170217 |
Real period |
R |
1.4695797533122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050fp1 127050iu1 |
Quadratic twists by: 5 -11 |