Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050t |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-46680202800 = -1 · 24 · 39 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-805,-13955] |
[a1,a2,a3,a4,a6] |
Generators |
[54:295:1] |
Generators of the group modulo torsion |
j |
-19108590985/15431472 |
j-invariant |
L |
4.5349655494469 |
L(r)(E,1)/r! |
Ω |
0.43314034062997 |
Real period |
R |
2.6174919810335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000168475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050in1 127050ez1 |
Quadratic twists by: 5 -11 |