Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
123600be |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57028608 |
Modular degree for the optimal curve |
Δ |
-2.7241342543872E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1218144408,16556213379312] |
[a1,a2,a3,a4,a6] |
Generators |
[261998102894804:8757654998873600:11589205447] |
Generators of the group modulo torsion |
j |
-3123489613629729792582289/42564597724800000000 |
j-invariant |
L |
7.2624213677969 |
L(r)(E,1)/r! |
Ω |
0.045570493998089 |
Real period |
R |
19.92084332052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450m1 24720q1 |
Quadratic twists by: -4 5 |