Atkin-Lehner |
2- 3+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6612a |
Isogeny class |
Conductor |
6612 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-40703472 = -1 · 24 · 35 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38,333] |
[a1,a2,a3,a4,a6] |
Generators |
[7:19:1] |
Generators of the group modulo torsion |
j |
-389344000/2543967 |
j-invariant |
L |
3.4777063037995 |
L(r)(E,1)/r! |
Ω |
1.7564718878498 |
Real period |
R |
0.98996924683398 |
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 |
26448p1 105792q1 19836i1 125628k1 |
Quadratic twists by: -4 8 -3 -19 |