Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950fe |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
-2.7471437157953E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2061037,79736872781] |
[a1,a2,a3,a4,a6] |
Generators |
[4020854671554465:404054340219679876:1101342835783] |
Generators of the group modulo torsion |
j |
1535602031153/4356914062500 |
j-invariant |
L |
9.7805766158699 |
L(r)(E,1)/r! |
Ω |
0.063386372607418 |
Real period |
R |
19.287616959499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001374 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bc1 124950il1 |
Quadratic twists by: 5 -7 |