Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34632h |
Isogeny class |
Conductor |
34632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-3318025980672 = -1 · 28 · 39 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 1 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68364,-6880572] |
[a1,a2,a3,a4,a6] |
Generators |
[1209:40959:1] |
Generators of the group modulo torsion |
j |
-7012531915776/658489 |
j-invariant |
L |
5.5979672593616 |
L(r)(E,1)/r! |
Ω |
0.14762511397539 |
Real period |
R |
3.1600129480086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69264a1 34632a1 |
Quadratic twists by: -4 -3 |