Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29925s |
Isogeny class |
Conductor |
29925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-215970770654296875 = -1 · 36 · 511 · 75 · 192 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 3 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-47325,-22707594] |
[a1,a2,a3,a4,a6] |
j |
-1029077364736/18960396875 |
j-invariant |
L |
1.0867251600432 |
L(r)(E,1)/r! |
Ω |
0.13584064500519 |
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 |
3325c1 5985m1 |
Quadratic twists by: -3 5 |