Atkin-Lehner |
2+ 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330d |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-5889172800 = -1 · 26 · 3 · 52 · 75 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,217,3573] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:8:1] [-2:57:1] |
Generators of the group modulo torsion |
j |
1121946206471/5889172800 |
j-invariant |
L |
4.3572259396034 |
L(r)(E,1)/r! |
Ω |
0.97037669635436 |
Real period |
R |
0.22451208669646 |
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 |
122640ca1 45990ci1 76650cr1 107310bw1 |
Quadratic twists by: -4 -3 5 -7 |