Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700bi |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
178848 |
Modular degree for the optimal curve |
Δ |
9504401068800 = 28 · 39 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16948,-841852] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:114:1] |
Generators of the group modulo torsion |
j |
84124932544720/1485062667 |
j-invariant |
L |
7.0393334446341 |
L(r)(E,1)/r! |
Ω |
0.41887364058561 |
Real period |
R |
0.20747390798686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62700t1 |
Quadratic twists by: 5 |