Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51304b |
Isogeny class |
Conductor |
51304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-14013302614784 = -1 · 28 · 117 · 532 |
Discriminant |
Eigenvalues |
2+ -1 3 4 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-436729,111233597] |
[a1,a2,a3,a4,a6] |
Generators |
[389:242:1] |
Generators of the group modulo torsion |
j |
-20312562936832/30899 |
j-invariant |
L |
7.2994645393386 |
L(r)(E,1)/r! |
Ω |
0.60012747892818 |
Real period |
R |
0.76019937383931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102608d1 4664d1 |
Quadratic twists by: -4 -11 |