Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ez |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1368576 |
Modular degree for the optimal curve |
Δ |
-82696826752570800 = -1 · 24 · 39 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-97468,18086861] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2455:1] |
Generators of the group modulo torsion |
j |
-19108590985/15431472 |
j-invariant |
L |
8.7238216466963 |
L(r)(E,1)/r! |
Ω |
0.31348074322766 |
Real period |
R |
1.159537164864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999001544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050ei1 127050t1 |
Quadratic twists by: 5 -11 |