Atkin-Lehner |
2+ 3- 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111690o |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28901376 |
Modular degree for the optimal curve |
Δ |
-2.5912243220514E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 1 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45514791,-214518750035] |
[a1,a2,a3,a4,a6] |
Generators |
[67492217:12034667204:2197] |
Generators of the group modulo torsion |
j |
14303879305112914366519151/35544915254476800000000 |
j-invariant |
L |
6.3447537948615 |
L(r)(E,1)/r! |
Ω |
0.034568923433488 |
Real period |
R |
11.47120216722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230u1 |
Quadratic twists by: -3 |