Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150hb |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
53498880 |
Modular degree for the optimal curve |
Δ |
-2.4344478249714E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-810977180,-8892133419553] |
[a1,a2,a3,a4,a6] |
Generators |
[874659126633117777:-55949770797438143191:25176943350629] |
Generators of the group modulo torsion |
j |
-207139083365807493797785/85489525815181312 |
j-invariant |
L |
12.957521508323 |
L(r)(E,1)/r! |
Ω |
0.014145120418933 |
Real period |
R |
28.626306107764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350k1 84150cw1 |
Quadratic twists by: -3 5 |