Atkin-Lehner |
3+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73689o |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1710720 |
Modular degree for the optimal curve |
Δ |
-1.5817669377733E+20 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-205279,-606246640] |
[a1,a2,a3,a4,a6] |
Generators |
[3344:188367:1] |
Generators of the group modulo torsion |
j |
-36883367257/6098396283 |
j-invariant |
L |
2.5902134594087 |
L(r)(E,1)/r! |
Ω |
0.081049675471604 |
Real period |
R |
5.3263907699606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73689g1 |
Quadratic twists by: -11 |