Atkin-Lehner |
2- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
112112x |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
-80430157808 = -1 · 24 · 74 · 115 · 13 |
Discriminant |
Eigenvalues |
2- -3 0 7+ 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1225,-21413] |
[a1,a2,a3,a4,a6] |
Generators |
[42:35:1] |
Generators of the group modulo torsion |
j |
-5292000000/2093663 |
j-invariant |
L |
3.3877180088294 |
L(r)(E,1)/r! |
Ω |
0.39575778596178 |
Real period |
R |
2.8533597552117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999734464 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28028b1 112112be1 |
Quadratic twists by: -4 -7 |