Atkin-Lehner |
3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
18249l |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-261853203843 = -1 · 316 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2 3- -4 7+ 11+ -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2150,-46315] |
[a1,a2,a3,a4,a6] |
Generators |
[506:2183:8] |
Generators of the group modulo torsion |
j |
-1099616058781696/261853203843 |
j-invariant |
L |
8.7286899317056 |
L(r)(E,1)/r! |
Ω |
0.34618280503034 |
Real period |
R |
1.5758816232476 |
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 |
54747o1 127743k1 |
Quadratic twists by: -3 -7 |