Atkin-Lehner |
3- 5- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
24645h |
Isogeny class |
Conductor |
24645 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-3197319075 = -1 · 34 · 52 · 313 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-385,3856] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:46:1] [-10:82:1] |
Generators of the group modulo torsion |
j |
-6327518887936/3197319075 |
j-invariant |
L |
7.5349050585693 |
L(r)(E,1)/r! |
Ω |
1.3203461162108 |
Real period |
R |
0.23778187672596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73935g1 123225e1 |
Quadratic twists by: -3 5 |