Atkin-Lehner |
2+ 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
7110j |
Isogeny class |
Conductor |
7110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-80608970880000 = -1 · 210 · 313 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20295,-1188675] |
[a1,a2,a3,a4,a6] |
Generators |
[270:3465:1] |
Generators of the group modulo torsion |
j |
-1268163904241521/110574720000 |
j-invariant |
L |
2.2705077212833 |
L(r)(E,1)/r! |
Ω |
0.19900554291372 |
Real period |
R |
1.4261585933989 |
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 |
56880bb1 2370o1 35550cb1 |
Quadratic twists by: -4 -3 5 |