Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
3950b |
Isogeny class |
Conductor |
3950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43320 |
Modular degree for the optimal curve |
Δ |
-31953920000000000 = -1 · 219 · 510 · 792 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 -1 -2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-686575,-219422875] |
[a1,a2,a3,a4,a6] |
Generators |
[331949861:9746200771:226981] |
Generators of the group modulo torsion |
j |
-3665123505412225/3272081408 |
j-invariant |
L |
2.2568545897978 |
L(r)(E,1)/r! |
Ω |
0.08292285191568 |
Real period |
R |
13.608158292076 |
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 |
31600m1 126400d1 35550bn1 3950i1 |
Quadratic twists by: -4 8 -3 5 |