Atkin-Lehner |
3+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
108339g |
Isogeny class |
Conductor |
108339 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2174976 |
Modular degree for the optimal curve |
Δ |
1261851526089 = 33 · 78 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10949026,13940208535] |
[a1,a2,a3,a4,a6] |
Generators |
[88105248:-2103002539:32768] |
Generators of the group modulo torsion |
j |
1233848948194057675033/10725561 |
j-invariant |
L |
5.4558056191613 |
L(r)(E,1)/r! |
Ω |
0.42766412989488 |
Real period |
R |
12.757220560976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999781415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15477c1 |
Quadratic twists by: -7 |