Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560o |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-3.5583746086829E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1555848,-515504304] |
[a1,a2,a3,a4,a6] |
Generators |
[312:540:1] |
Generators of the group modulo torsion |
j |
18289152/15625 |
j-invariant |
L |
7.1783274705696 |
L(r)(E,1)/r! |
Ω |
0.093880482173892 |
Real period |
R |
3.185933551224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70560q1 70560ch1 70560a1 |
Quadratic twists by: -4 -3 -7 |