Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fk |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-6779515050 = -1 · 2 · 33 · 52 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8533,299861] |
[a1,a2,a3,a4,a6] |
Generators |
[422:-171:8] |
Generators of the group modulo torsion |
j |
-187724683465/18522 |
j-invariant |
L |
8.515989985501 |
L(r)(E,1)/r! |
Ω |
1.2753191780654 |
Real period |
R |
2.2258453795835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050em1 127050bc1 |
Quadratic twists by: 5 -11 |