Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27930bw |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
344960 |
Modular degree for the optimal curve |
Δ |
-17170569540311040 = -1 · 211 · 37 · 5 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -7 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9382,-6294004] |
[a1,a2,a3,a4,a6] |
Generators |
[396:7519:1] |
Generators of the group modulo torsion |
j |
2263571297/425502720 |
j-invariant |
L |
4.553771638069 |
L(r)(E,1)/r! |
Ω |
0.18372905728192 |
Real period |
R |
1.7703753969635 |
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 |
83790en1 27930f1 |
Quadratic twists by: -3 -7 |