Atkin-Lehner |
2+ 3- 7- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107226o |
Isogeny class |
Conductor |
107226 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-43763936767488 = -1 · 29 · 315 · 7 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4977,-344547] |
[a1,a2,a3,a4,a6] |
Generators |
[6324:19113:64] |
Generators of the group modulo torsion |
j |
-18704589828625/60032835072 |
j-invariant |
L |
3.5034950760929 |
L(r)(E,1)/r! |
Ω |
0.26193526124516 |
Real period |
R |
6.6877117611535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061403 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35742o1 |
Quadratic twists by: -3 |