Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070i |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-4.4221238724407E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-603291645,-5703318196155] |
[a1,a2,a3,a4,a6] |
Generators |
[22459326139307599966820574:988693109220133309120730001:767543467498392037699] |
Generators of the group modulo torsion |
j |
-33310267215676521662102631121/606601354244259840 |
j-invariant |
L |
4.0482051521876 |
L(r)(E,1)/r! |
Ω |
0.015231326605488 |
Real period |
R |
33.222690126092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690t1 |
Quadratic twists by: -3 |