Atkin-Lehner |
2+ 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440f |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-3740808960 = -1 · 28 · 33 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,2938] |
[a1,a2,a3,a4,a6] |
Generators |
[3:56:1] |
Generators of the group modulo torsion |
j |
2963088/541205 |
j-invariant |
L |
6.3685654207879 |
L(r)(E,1)/r! |
Ω |
1.079632113866 |
Real period |
R |
1.4747072992469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999772473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440bz1 |
Quadratic twists by: -3 |