Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
47400a |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3179520 |
Modular degree for the optimal curve |
Δ |
-9.1157795820375E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16356508,25878013012] |
[a1,a2,a3,a4,a6] |
Generators |
[1873634136642:-574349899790800:19902511] |
Generators of the group modulo torsion |
j |
-120986111455981208656/2278944895509375 |
j-invariant |
L |
5.2931372866064 |
L(r)(E,1)/r! |
Ω |
0.13001159558001 |
Real period |
R |
20.356404607628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94800t1 9480e1 |
Quadratic twists by: -4 5 |