Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930b |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-13305600 = -1 · 28 · 33 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75,325] |
[a1,a2,a3,a4,a6] |
Generators |
[5:5:1] |
Generators of the group modulo torsion |
j |
-1740992427/492800 |
j-invariant |
L |
2.8732766893483 |
L(r)(E,1)/r! |
Ω |
2.1235405246808 |
Real period |
R |
0.67652975207058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55440bv1 6930u1 34650cn1 48510k1 |
Quadratic twists by: -4 -3 5 -7 |