Atkin-Lehner |
2+ 3- 5- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230l |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73801728 |
Modular degree for the optimal curve |
Δ |
-2.3061697312534E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 0 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,54989226,-2305164977420] |
[a1,a2,a3,a4,a6] |
Generators |
[230763518764:709713796737898:24389] |
Generators of the group modulo torsion |
j |
25224873665558905103601311/3163470138893599211520000 |
j-invariant |
L |
6.0612899297019 |
L(r)(E,1)/r! |
Ω |
0.021805276038966 |
Real period |
R |
17.373346704229 |
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 |
34410l1 |
Quadratic twists by: -3 |