Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ef |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-15980544000000000 = -1 · 220 · 33 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4125,6081250] |
[a1,a2,a3,a4,a6] |
j |
35937/73984 |
j-invariant |
L |
2.459204584837 |
L(r)(E,1)/r! |
Ω |
0.3074005740595 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7650i1 61200dw1 61200dx1 |
Quadratic twists by: -4 -3 5 |