Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400t |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-100018800 = -1 · 24 · 36 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,477] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-27:1] [-2:21:1] |
Generators of the group modulo torsion |
j |
1280/729 |
j-invariant |
L |
7.1162770370812 |
L(r)(E,1)/r! |
Ω |
1.4734585135467 |
Real period |
R |
0.60370524277196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800dr1 88200hf1 29400es1 29400bv1 |
Quadratic twists by: -4 -3 5 -7 |