Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63945n |
Isogeny class |
Conductor |
63945 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.2853340309057E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -5 4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9400365,11229065266] |
[a1,a2,a3,a4,a6] |
Generators |
[181274990:51944191742:2197] |
Generators of the group modulo torsion |
j |
-446118219434209/6241774545 |
j-invariant |
L |
4.7101244160455 |
L(r)(E,1)/r! |
Ω |
0.15339139470111 |
Real period |
R |
15.353287662643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315k1 63945v1 |
Quadratic twists by: -3 -7 |