Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
98838bb |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-6917078592 = -1 · 26 · 39 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -1 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29,-3995] |
[a1,a2,a3,a4,a6] |
Generators |
[43:248:1] |
Generators of the group modulo torsion |
j |
-459/1216 |
j-invariant |
L |
10.173342316853 |
L(r)(E,1)/r! |
Ω |
0.60241763117646 |
Real period |
R |
1.4072936811883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838e1 98838bc1 |
Quadratic twists by: -3 17 |