Atkin-Lehner |
2+ 3- 7+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107226g |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-1307381741568 = -1 · 211 · 37 · 73 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41112,3219264] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-36:1] |
Generators of the group modulo torsion |
j |
-10541634151434625/1793390592 |
j-invariant |
L |
3.7537466760249 |
L(r)(E,1)/r! |
Ω |
0.83172793598409 |
Real period |
R |
2.2565952734967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35742l1 |
Quadratic twists by: -3 |