Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7448h |
Isogeny class |
Conductor |
7448 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-86039296 = -1 · 28 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ -2 1 7- -3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100,-624] |
[a1,a2,a3,a4,a6] |
Generators |
[20:76:1] |
Generators of the group modulo torsion |
j |
-8904784/6859 |
j-invariant |
L |
2.7511917741007 |
L(r)(E,1)/r! |
Ω |
0.72994995811839 |
Real period |
R |
0.62816903713795 |
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 |
14896l1 59584t1 67032cq1 7448b1 |
Quadratic twists by: -4 8 -3 -7 |