Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080p |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-107642880 = -1 · 215 · 32 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,95,-383] |
[a1,a2,a3,a4,a6] |
Generators |
[7:24:1] |
Generators of the group modulo torsion |
j |
2863288/3285 |
j-invariant |
L |
5.614125670736 |
L(r)(E,1)/r! |
Ω |
1.0124298810071 |
Real period |
R |
1.3862998750592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080bd1 35040p1 |
Quadratic twists by: -4 8 |