Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dp |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
5046981632 = 210 · 7 · 113 · 232 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12453,-539045] |
[a1,a2,a3,a4,a6] |
Generators |
[131:308:1] [142:759:1] |
Generators of the group modulo torsion |
j |
208583809024000/4928693 |
j-invariant |
L |
7.7656483374175 |
L(r)(E,1)/r! |
Ω |
0.45193790410048 |
Real period |
R |
5.727666172789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344bb1 28336r1 |
Quadratic twists by: -4 8 |