Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4704z |
Isogeny class |
Conductor |
4704 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-1959920395776 = -1 · 29 · 313 · 74 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3120,7272] |
[a1,a2,a3,a4,a6] |
Generators |
[6:162:1] |
Generators of the group modulo torsion |
j |
2731405432/1594323 |
j-invariant |
L |
4.6472033768044 |
L(r)(E,1)/r! |
Ω |
0.50193651821154 |
Real period |
R |
0.35609800229803 |
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 |
4704p1 9408bo1 14112k1 117600b1 |
Quadratic twists by: -4 8 -3 5 |