Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832x |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-766296118896 = -1 · 24 · 3 · 73 · 115 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,230,42019] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:187:1] |
Generators of the group modulo torsion |
j |
83733188864/47893507431 |
j-invariant |
L |
4.8059689895265 |
L(r)(E,1)/r! |
Ω |
0.69928996888589 |
Real period |
R |
0.68726411122462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999583 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708h1 |
Quadratic twists by: -4 |