Atkin-Lehner |
2+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
8240f |
Isogeny class |
Conductor |
8240 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-874181600000 = -1 · 28 · 55 · 1033 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 -4 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2273,16846] |
[a1,a2,a3,a4,a6] |
Generators |
[157:2060:1] |
Generators of the group modulo torsion |
j |
5073200820144/3414771875 |
j-invariant |
L |
2.4247711409961 |
L(r)(E,1)/r! |
Ω |
0.55851044965518 |
Real period |
R |
0.14471654872307 |
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 |
4120b1 32960r1 74160m1 41200g1 |
Quadratic twists by: -4 8 -3 5 |