Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400w |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-72223488000 = -1 · 211 · 38 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -4 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178995,-29148050] |
[a1,a2,a3,a4,a6] |
j |
-3398434606474/387 |
j-invariant |
L |
0.46421514928904 |
L(r)(E,1)/r! |
Ω |
0.11605379086343 |
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 |
25800bk1 77400bv1 |
Quadratic twists by: -3 5 |