Atkin-Lehner |
2- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
30926h |
Isogeny class |
Conductor |
30926 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
189504 |
Modular degree for the optimal curve |
Δ |
-9334024371410312 = -1 · 23 · 72 · 478 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 4 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2163,-4647221] |
[a1,a2,a3,a4,a6] |
Generators |
[21305:94544:125] |
Generators of the group modulo torsion |
j |
47/392 |
j-invariant |
L |
8.4865930646658 |
L(r)(E,1)/r! |
Ω |
0.18949309006849 |
Real period |
R |
7.4642942227236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30926i1 |
Quadratic twists by: -47 |