Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235be |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-2.3640185134937E+19 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,228118,-230196144] |
[a1,a2,a3,a4,a6] |
Generators |
[7678:232407:8] |
Generators of the group modulo torsion |
j |
373092501599/6718359375 |
j-invariant |
L |
4.1876207660537 |
L(r)(E,1)/r! |
Ω |
0.10392497187613 |
Real period |
R |
2.5184158644094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998936 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17745d1 4095i1 |
Quadratic twists by: -3 13 |