Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100h |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-339972187500000000 = -1 · 28 · 35 · 513 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,146867,-17871863] |
[a1,a2,a3,a4,a6] |
j |
87585746345984/84993046875 |
j-invariant |
L |
1.3254571457432 |
L(r)(E,1)/r! |
Ω |
0.16568214496047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24420p1 |
Quadratic twists by: 5 |