Atkin-Lehner |
3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
11925s |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-50937451171875 = -1 · 39 · 511 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 4 0 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49800,4291281] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:2812:1] |
Generators of the group modulo torsion |
j |
-1199124250624/4471875 |
j-invariant |
L |
4.3470961367008 |
L(r)(E,1)/r! |
Ω |
0.63576565267467 |
Real period |
R |
0.85469703309947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3975h1 2385e1 |
Quadratic twists by: -3 5 |