Atkin-Lehner |
2+ 3+ 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770b |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58080 |
Modular degree for the optimal curve |
Δ |
-3623549056727040 = -1 · 211 · 36 · 5 · 7 · 375 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38628,-4130352] |
[a1,a2,a3,a4,a6] |
Generators |
[2907:154944:1] |
Generators of the group modulo torsion |
j |
-6374526742073108809/3623549056727040 |
j-invariant |
L |
2.1129966906962 |
L(r)(E,1)/r! |
Ω |
0.1659108076884 |
Real period |
R |
6.3678693393643 |
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 |
62160cn1 23310bq1 38850cx1 54390bc1 |
Quadratic twists by: -4 -3 5 -7 |