Atkin-Lehner |
3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98553c |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11200 |
Modular degree for the optimal curve |
Δ |
-1872507 = -1 · 3 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
0 3+ 2 7+ -1 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,13,59] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] [13:47:1] |
Generators of the group modulo torsion |
j |
32768/273 |
j-invariant |
L |
9.3022641477924 |
L(r)(E,1)/r! |
Ω |
1.9266755969642 |
Real period |
R |
2.4140712018279 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553s1 |
Quadratic twists by: -19 |