Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520n |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-69271731200 = -1 · 210 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 2 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-721,14455] |
[a1,a2,a3,a4,a6] |
Generators |
[42:245:1] |
Generators of the group modulo torsion |
j |
-40535147776/67648175 |
j-invariant |
L |
7.0002169484537 |
L(r)(E,1)/r! |
Ω |
0.98237664019693 |
Real period |
R |
0.59381645338578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520bl1 6440k1 |
Quadratic twists by: -4 8 |