Atkin-Lehner |
2- 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38940p |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-4198160340000000 = -1 · 28 · 35 · 57 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11- -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30140,2389508] |
[a1,a2,a3,a4,a6] |
Generators |
[836:24750:1] |
Generators of the group modulo torsion |
j |
11827666800480944/16399063828125 |
j-invariant |
L |
6.2877102926523 |
L(r)(E,1)/r! |
Ω |
0.29605944379602 |
Real period |
R |
0.050566665261811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116820j1 |
Quadratic twists by: -3 |