Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2541f |
Isogeny class |
Conductor |
2541 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-94532266521 = -1 · 32 · 72 · 118 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 11- 7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,361,-14406] |
[a1,a2,a3,a4,a6] |
Generators |
[50:338:1] |
Generators of the group modulo torsion |
j |
24167/441 |
j-invariant |
L |
2.9081420986998 |
L(r)(E,1)/r! |
Ω |
0.5205280426309 |
Real period |
R |
0.46557563674528 |
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 |
40656ct1 7623q1 63525bk1 17787p1 |
Quadratic twists by: -4 -3 5 -7 |