Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520h |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-18032000000 = -1 · 210 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 2 -3 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,639,-1561] |
[a1,a2,a3,a4,a6] |
Generators |
[10:77:1] [1234:43375:1] |
Generators of the group modulo torsion |
j |
28134973184/17609375 |
j-invariant |
L |
10.203905054739 |
L(r)(E,1)/r! |
Ω |
0.70660486256669 |
Real period |
R |
3.6101878133404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520br1 6440d1 |
Quadratic twists by: -4 8 |