Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bg |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-5311169740800 = -1 · 214 · 37 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -3 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-96120,11430720] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-152:1] |
Generators of the group modulo torsion |
j |
-32467337778980665/1755758592 |
j-invariant |
L |
3.5510983523941 |
L(r)(E,1)/r! |
Ω |
0.72207957142477 |
Real period |
R |
1.2294691544302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000315256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050iu1 127050fp1 |
Quadratic twists by: 5 -11 |