Atkin-Lehner |
2- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600cf |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-419812064000 = -1 · 28 · 53 · 7 · 374 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 5 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-973,33617] |
[a1,a2,a3,a4,a6] |
Generators |
[32:185:1] |
Generators of the group modulo torsion |
j |
-3186827264/13119127 |
j-invariant |
L |
6.2805279292556 |
L(r)(E,1)/r! |
Ω |
0.82300225613383 |
Real period |
R |
0.47695251658848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999581551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25900f1 103600bu1 |
Quadratic twists by: -4 5 |