Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
93600o |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-30371328000 = -1 · 212 · 33 · 53 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7320,241200] |
[a1,a2,a3,a4,a6] |
Generators |
[36:156:1] |
Generators of the group modulo torsion |
j |
-3137785344/2197 |
j-invariant |
L |
7.9735685807352 |
L(r)(E,1)/r! |
Ω |
1.1641763907767 |
Real period |
R |
0.28537945539698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943238 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600q1 93600de1 93600da1 |
Quadratic twists by: -4 -3 5 |