Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bj |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-3573281250 = -1 · 2 · 33 · 57 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,350,-1250] |
[a1,a2,a3,a4,a6] |
Generators |
[15:80:1] |
Generators of the group modulo torsion |
j |
2496791/1890 |
j-invariant |
L |
4.1901969801473 |
L(r)(E,1)/r! |
Ω |
0.78473878540405 |
Real period |
R |
1.334901868478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997530787 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cn1 127050fr1 |
Quadratic twists by: 5 -11 |