Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630u |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
233482750802784000 = 28 · 33 · 53 · 74 · 1034 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4618830,3818732427] |
[a1,a2,a3,a4,a6] |
Generators |
[1257:351:1] |
Generators of the group modulo torsion |
j |
10897318688517933860452321/233482750802784000 |
j-invariant |
L |
7.6860412681178 |
L(r)(E,1)/r! |
Ω |
0.28943094095964 |
Real period |
R |
1.1064875042146 |
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 |
64890w4 108150bd4 |
Quadratic twists by: -3 5 |