Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
63654d |
Isogeny class |
Conductor |
63654 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4837248 |
Modular degree for the optimal curve |
Δ |
-1.9344243274676E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29912297,62969476076] |
[a1,a2,a3,a4,a6] |
Generators |
[363836974:120020370129:571787] |
Generators of the group modulo torsion |
j |
-2478846508717753/162004992 |
j-invariant |
L |
4.2262360274316 |
L(r)(E,1)/r! |
Ω |
0.16997397531147 |
Real period |
R |
12.432009133488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000891 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
618b1 |
Quadratic twists by: -103 |