Atkin-Lehner |
3+ 7+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104811a |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2943360 |
Modular degree for the optimal curve |
Δ |
1356502213535692293 = 315 · 78 · 232 · 31 |
Discriminant |
Eigenvalues |
-2 3+ 2 7+ 3 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-379472,70520498] |
[a1,a2,a3,a4,a6] |
Generators |
[768:15214:1] |
Generators of the group modulo torsion |
j |
1048285902082048/235307725893 |
j-invariant |
L |
4.0025277199725 |
L(r)(E,1)/r! |
Ω |
0.255193672777 |
Real period |
R |
2.6140458109496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104811u1 |
Quadratic twists by: -7 |