Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fp |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
6209280 |
Modular degree for the optimal curve |
Δ |
-9.4090611771814E+18 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 3 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11630583,-15272441139] |
[a1,a2,a3,a4,a6] |
Generators |
[5979:356138:1] |
Generators of the group modulo torsion |
j |
-32467337778980665/1755758592 |
j-invariant |
L |
9.7175713131847 |
L(r)(E,1)/r! |
Ω |
0.040875942400143 |
Real period |
R |
2.8301579511315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999466011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ep1 127050bg1 |
Quadratic twists by: 5 -11 |