Atkin-Lehner |
2+ 3+ 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510c |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-92551680 = -1 · 29 · 33 · 5 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 13- 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1209,16493] |
[a1,a2,a3,a4,a6] |
Generators |
[19:1:1] |
Generators of the group modulo torsion |
j |
-7241706094923/3427840 |
j-invariant |
L |
5.9600453443403 |
L(r)(E,1)/r! |
Ω |
1.876542156999 |
Real period |
R |
1.5880392830501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510v1 |
Quadratic twists by: -3 |