Atkin-Lehner |
7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62699c |
Isogeny class |
Conductor |
62699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-51145500475979 = -1 · 7 · 1310 · 53 |
Discriminant |
Eigenvalues |
-2 0 -1 7+ 1 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3887,-331198] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1774:1] |
Generators of the group modulo torsion |
j |
1345572864/10596131 |
j-invariant |
L |
1.6930265844536 |
L(r)(E,1)/r! |
Ω |
0.31412915033186 |
Real period |
R |
2.6947938173448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4823b1 |
Quadratic twists by: 13 |