Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2541g |
Isogeny class |
Conductor |
2541 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-10377700641 = -1 · 36 · 76 · 112 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 11- 5 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3220,69158] |
[a1,a2,a3,a4,a6] |
Generators |
[86:618:1] |
Generators of the group modulo torsion |
j |
-30515071121161/85766121 |
j-invariant |
L |
1.9503254305372 |
L(r)(E,1)/r! |
Ω |
1.2893038484637 |
Real period |
R |
0.12605804241188 |
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 |
40656ch1 7623n1 63525bh1 17787t1 |
Quadratic twists by: -4 -3 5 -7 |