Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446cj |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
3072 |
Product of Tamagawa factors cp |
deg |
57507840 |
Modular degree for the optimal curve |
Δ |
-4.243614826683E+27 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-969263807,-12030631261531] |
[a1,a2,a3,a4,a6] |
Generators |
[317691:178009474:1] |
Generators of the group modulo torsion |
j |
-855975748839293684480822497/36070130869646024245248 |
j-invariant |
L |
10.395273526539 |
L(r)(E,1)/r! |
Ω |
0.013495506194772 |
Real period |
R |
4.0118576388818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998735 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8778s1 |
Quadratic twists by: -7 |