Atkin-Lehner |
2+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
36050a |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-2.6742123817726E+22 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -2 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10266001,14905207648] |
[a1,a2,a3,a4,a6] |
Generators |
[-16007489:584481388:4913] |
Generators of the group modulo torsion |
j |
-7657861932846873135361/1711495924334451500 |
j-invariant |
L |
4.1064342031376 |
L(r)(E,1)/r! |
Ω |
0.11345836963139 |
Real period |
R |
4.5241640353183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210k1 |
Quadratic twists by: 5 |