Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520p |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-8498163220480 = -1 · 225 · 5 · 373 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 3 -2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35483,2576458] |
[a1,a2,a3,a4,a6] |
Generators |
[111:74:1] |
Generators of the group modulo torsion |
j |
-23813300133/40960 |
j-invariant |
L |
4.079823089082 |
L(r)(E,1)/r! |
Ω |
0.73482842459853 |
Real period |
R |
1.3880189359387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690j1 109520bd1 |
Quadratic twists by: -4 37 |