Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
7110p |
Isogeny class |
Conductor |
7110 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-9827328240000000 = -1 · 210 · 39 · 57 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21193,4614031] |
[a1,a2,a3,a4,a6] |
Generators |
[91:2654:1] |
Generators of the group modulo torsion |
j |
53484623807733/499280000000 |
j-invariant |
L |
5.9712089388832 |
L(r)(E,1)/r! |
Ω |
0.29937481479897 |
Real period |
R |
0.2849370776178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56880x1 7110a1 35550a1 |
Quadratic twists by: -4 -3 5 |