Atkin-Lehner |
2- 3- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870t |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2358720 |
Modular degree for the optimal curve |
Δ |
-6614945561060352000 = -1 · 213 · 36 · 53 · 175 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,431827,-58269419] |
[a1,a2,a3,a4,a6] |
Generators |
[143:2456:1] |
Generators of the group modulo torsion |
j |
12215929172852562039/9073999397888000 |
j-invariant |
L |
7.3609183147433 |
L(r)(E,1)/r! |
Ω |
0.13287258492539 |
Real period |
R |
2.1307047220931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999554063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13430d1 |
Quadratic twists by: -3 |