Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
107200db |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-686080000 = -1 · 214 · 54 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -4 0 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-1437] |
[a1,a2,a3,a4,a6] |
Generators |
[186:741:8] |
Generators of the group modulo torsion |
j |
-25600/67 |
j-invariant |
L |
3.1643776368231 |
L(r)(E,1)/r! |
Ω |
0.65309997382723 |
Real period |
R |
4.8451657213815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200bl1 26800p1 107200cr1 |
Quadratic twists by: -4 8 5 |