Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
77400t |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-141061500000000 = -1 · 28 · 38 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11625,306250] |
[a1,a2,a3,a4,a6] |
j |
476656/387 |
j-invariant |
L |
1.5007184023589 |
L(r)(E,1)/r! |
Ω |
0.37517960076327 |
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 |
25800bj1 77400br1 |
Quadratic twists by: -3 5 |