Atkin-Lehner |
2+ 5+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
13390b |
Isogeny class |
Conductor |
13390 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
62832 |
Modular degree for the optimal curve |
Δ |
1615774312750 = 2 · 53 · 137 · 103 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -3 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-138818,-19965362] |
[a1,a2,a3,a4,a6] |
Generators |
[-5829:2999:27] |
Generators of the group modulo torsion |
j |
295846168874848406569/1615774312750 |
j-invariant |
L |
2.8272479210526 |
L(r)(E,1)/r! |
Ω |
0.24733629097056 |
Real period |
R |
1.632969260457 |
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 |
107120i1 120510bk1 66950w1 |
Quadratic twists by: -4 -3 5 |