Atkin-Lehner |
3- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20313g |
Isogeny class |
Conductor |
20313 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-83175464720047509 = -1 · 312 · 376 · 61 |
Discriminant |
Eigenvalues |
1 3- 3 1 -1 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,60957,12593502] |
[a1,a2,a3,a4,a6] |
Generators |
[582:15360:1] |
Generators of the group modulo torsion |
j |
34360773469867727/114095287681821 |
j-invariant |
L |
7.4111885515881 |
L(r)(E,1)/r! |
Ω |
0.24180309482146 |
Real period |
R |
2.5541403695502 |
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 |
6771b1 |
Quadratic twists by: -3 |