Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950ba |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-4812011718750 = -1 · 2 · 33 · 513 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3687,-60633] |
[a1,a2,a3,a4,a6] |
Generators |
[126:237:8] |
Generators of the group modulo torsion |
j |
354744554039/307968750 |
j-invariant |
L |
8.2564183329833 |
L(r)(E,1)/r! |
Ω |
0.42427740628995 |
Real period |
R |
3.2433254794234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600bb1 32850h1 2190b1 |
Quadratic twists by: -4 -3 5 |