Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832by |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
342 |
Product of Tamagawa factors cp |
deg |
722304 |
Modular degree for the optimal curve |
Δ |
-2453543942987524464 = -1 · 24 · 319 · 73 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11- 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-207646,-83770369] |
[a1,a2,a3,a4,a6] |
Generators |
[1163:35343:1] |
Generators of the group modulo torsion |
j |
-61883736664914436864/153346496436720279 |
j-invariant |
L |
7.6255668547882 |
L(r)(E,1)/r! |
Ω |
0.10419674362187 |
Real period |
R |
0.21398921244858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15708a1 |
Quadratic twists by: -4 |