Atkin-Lehner |
2+ 3+ 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426f |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-19251838313293824 = -1 · 211 · 39 · 74 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -5 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,25095,-6504211] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1708:1] |
Generators of the group modulo torsion |
j |
88794135854397/978094716928 |
j-invariant |
L |
3.2069286299227 |
L(r)(E,1)/r! |
Ω |
0.19002012549245 |
Real period |
R |
0.70319933688159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69426be1 |
Quadratic twists by: -3 |