Atkin-Lehner |
3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
6327b |
Isogeny class |
Conductor |
6327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
702297 = 33 · 19 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1625,-24800] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1610:1] |
Generators of the group modulo torsion |
j |
17565861949875/26011 |
j-invariant |
L |
2.500012679484 |
L(r)(E,1)/r! |
Ω |
0.75198146040278 |
Real period |
R |
3.324566909063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101232l1 6327a1 120213a1 |
Quadratic twists by: -4 -3 -19 |