Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050ib |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-87920634785156250 = -1 · 2 · 3 · 510 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,42287,-13864333] |
[a1,a2,a3,a4,a6] |
Generators |
[8608740845690186666587287082:250831786376966524760410078309:10157796262868361890215096] |
Generators of the group modulo torsion |
j |
2496791/26250 |
j-invariant |
L |
14.647244394989 |
L(r)(E,1)/r! |
Ω |
0.16761590599218 |
Real period |
R |
43.692883167282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410e1 127050cw1 |
Quadratic twists by: 5 -11 |