Atkin-Lehner |
2+ 3- 5- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270s |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-1665009521786880000 = -1 · 222 · 39 · 54 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51696,61904128] |
[a1,a2,a3,a4,a6] |
j |
20958600539250431/2283963678720000 |
j-invariant |
L |
3.268140605487 |
L(r)(E,1)/r! |
Ω |
0.20425869221558 |
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 |
42090n1 |
Quadratic twists by: -3 |