Atkin-Lehner |
2- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
61100c |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
71792500000000 = 28 · 510 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 4 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13333,-434537] |
[a1,a2,a3,a4,a6] |
Generators |
[129:94:1] |
Generators of the group modulo torsion |
j |
104857600/28717 |
j-invariant |
L |
6.547771234905 |
L(r)(E,1)/r! |
Ω |
0.45343395063622 |
Real period |
R |
2.4067346616803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61100q1 |
Quadratic twists by: 5 |