Atkin-Lehner |
2+ 3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282q |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6967296 |
Modular degree for the optimal curve |
Δ |
7.2759696362836E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31087197,-52590488571] |
[a1,a2,a3,a4,a6] |
Generators |
[72212784009210:2600858259068931:10431681625] |
Generators of the group modulo torsion |
j |
4557649125991526902716625/998075395923674923008 |
j-invariant |
L |
4.2279369084507 |
L(r)(E,1)/r! |
Ω |
0.064934089324767 |
Real period |
R |
16.277801661707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17094y1 |
Quadratic twists by: -3 |