Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498y |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
1208745487152 = 24 · 37 · 72 · 893 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 1 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2718,-12636] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1530:1] [-32:218:1] |
Generators of the group modulo torsion |
j |
62178227377/33838512 |
j-invariant |
L |
7.2280789450494 |
L(r)(E,1)/r! |
Ω |
0.70547586792542 |
Real period |
R |
0.85380654315899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166v1 78498l1 |
Quadratic twists by: -3 -7 |