Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680t |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-40940640000 = -1 · 28 · 39 · 54 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,753,-5614] |
[a1,a2,a3,a4,a6] |
Generators |
[10:54:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
3.9000713870072 |
L(r)(E,1)/r! |
Ω |
0.63127132026553 |
Real period |
R |
1.5445305615051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9360t1 37440bd1 1560a1 23400g1 |
Quadratic twists by: -4 8 -3 5 |