Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600c |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
-7020000000000 = -1 · 211 · 33 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5208,-191088] |
[a1,a2,a3,a4,a6] |
Generators |
[88:156:1] |
Generators of the group modulo torsion |
j |
-781250/351 |
j-invariant |
L |
4.0389887286932 |
L(r)(E,1)/r! |
Ω |
0.27501808559932 |
Real period |
R |
3.6715664716117 |
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 |
7800f1 62400hc1 46800q1 15600w1 |
Quadratic twists by: -4 8 -3 5 |