Atkin-Lehner |
3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6321d |
Isogeny class |
Conductor |
6321 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-54393474301047 = -1 · 36 · 79 · 432 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,293,-354712] |
[a1,a2,a3,a4,a6] |
Generators |
[456:9511:1] |
Generators of the group modulo torsion |
j |
68921/1347921 |
j-invariant |
L |
2.5189230793062 |
L(r)(E,1)/r! |
Ω |
0.29037174538606 |
Real period |
R |
4.3374107834721 |
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 |
101136ck1 18963m1 6321f1 |
Quadratic twists by: -4 -3 -7 |