Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800by |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-119070000 = -1 · 24 · 35 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117,162] |
[a1,a2,a3,a4,a6] |
Generators |
[2:20:1] |
Generators of the group modulo torsion |
j |
358400/243 |
j-invariant |
L |
5.1230237180291 |
L(r)(E,1)/r! |
Ω |
1.1741360176044 |
Real period |
R |
1.4544094952183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ep1 58800cz1 58800dy1 |
Quadratic twists by: -4 5 -7 |