Atkin-Lehner |
2- 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38430bf |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8648375589000 = -1 · 23 · 310 · 53 · 74 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2903,154487] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:448:1] |
Generators of the group modulo torsion |
j |
-3710197529641/11863341000 |
j-invariant |
L |
7.5955026567214 |
L(r)(E,1)/r! |
Ω |
0.64415664043981 |
Real period |
R |
0.98261589649137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12810f1 |
Quadratic twists by: -3 |