Atkin-Lehner |
2- 5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
124630x |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-1027675449856000000 = -1 · 215 · 56 · 117 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21452516,38242433296] |
[a1,a2,a3,a4,a6] |
Generators |
[1176:-121588:1] [2676:-1088:1] |
Generators of the group modulo torsion |
j |
-616314387368923834969/580096000000 |
j-invariant |
L |
12.647763355597 |
L(r)(E,1)/r! |
Ω |
0.23204685532429 |
Real period |
R |
0.45421011138647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330f2 |
Quadratic twists by: -11 |