Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446w |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
2.1824298271216E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4818931,-4009568818] |
[a1,a2,a3,a4,a6] |
Generators |
[-1193:7064:1] |
Generators of the group modulo torsion |
j |
105193151438106201625/1855034744980032 |
j-invariant |
L |
5.0232457511853 |
L(r)(E,1)/r! |
Ω |
0.10200621220722 |
Real period |
R |
1.7587324348772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000173 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8778c1 |
Quadratic twists by: -7 |