Atkin-Lehner |
2- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410bw |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3072000 |
Modular degree for the optimal curve |
Δ |
-1.4546797382902E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2209901,-1277896495] |
[a1,a2,a3,a4,a6] |
Generators |
[1730:7935:1] |
Generators of the group modulo torsion |
j |
-10145044108875614401/123645737600000 |
j-invariant |
L |
12.194620347412 |
L(r)(E,1)/r! |
Ω |
0.0618673038273 |
Real period |
R |
4.9277322500278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14630z1 |
Quadratic twists by: -7 |