Atkin-Lehner |
2- 5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bx |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
816480 |
Modular degree for the optimal curve |
Δ |
-13571939246243840 = -1 · 215 · 5 · 76 · 113 · 232 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,30820,5216637] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:2041:1] |
Generators of the group modulo torsion |
j |
27518990257871/115359580160 |
j-invariant |
L |
10.482816691381 |
L(r)(E,1)/r! |
Ω |
0.28389205748345 |
Real period |
R |
0.41028178578703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2530h1 |
Quadratic twists by: -7 |