Atkin-Lehner |
3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20295o |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3356628103125 = 39 · 55 · 113 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- -4 11- -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4827,-94298] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:112:1] [-50:148:1] |
Generators of the group modulo torsion |
j |
17061927030784/4604428125 |
j-invariant |
L |
3.9081063284217 |
L(r)(E,1)/r! |
Ω |
0.58433969678178 |
Real period |
R |
0.11146787704557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6765b1 101475bo1 |
Quadratic twists by: -3 5 |