Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
630d |
Isogeny class |
Conductor |
630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7233502500 = 22 · 310 · 54 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9450,355936] |
[a1,a2,a3,a4,a6] |
Generators |
[38:206:1] |
Generators of the group modulo torsion |
j |
128031684631201/9922500 |
j-invariant |
L |
1.573850116285 |
L(r)(E,1)/r! |
Ω |
1.2617923560486 |
Real period |
R |
0.62365654251293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5040bg3 20160cm4 210c3 3150bi4 |
Quadratic twists by: -4 8 -3 5 |