Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200a |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-257500000000 = -1 · 28 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 0 5 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59375,5568750] |
[a1,a2,a3,a4,a6] |
Generators |
[101:776:1] |
Generators of the group modulo torsion |
j |
-9259650000/103 |
j-invariant |
L |
6.6610553743553 |
L(r)(E,1)/r! |
Ω |
0.89146995975123 |
Real period |
R |
3.7359954205349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600p1 41200s1 |
Quadratic twists by: -4 5 |