Atkin-Lehner |
2+ 7- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
116522f |
Isogeny class |
Conductor |
116522 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2053632 |
Modular degree for the optimal curve |
Δ |
-804978184230535168 = -1 · 224 · 79 · 29 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -4 7- -1 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39209,43279949] |
[a1,a2,a3,a4,a6] |
Generators |
[-115470:4974983:729] |
Generators of the group modulo torsion |
j |
-165198036303/19948109824 |
j-invariant |
L |
3.4188421866039 |
L(r)(E,1)/r! |
Ω |
0.23191497040078 |
Real period |
R |
3.6854479562547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999176626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116522c1 |
Quadratic twists by: -7 |