Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304k |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
71617693672448 = 210 · 76 · 112 · 173 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9709595,11645276006] |
[a1,a2,a3,a4,a6] |
Generators |
[1999:14960:1] |
Generators of the group modulo torsion |
j |
840308702533978500/594473 |
j-invariant |
L |
4.4790393479055 |
L(r)(E,1)/r! |
Ω |
0.38082227028773 |
Real period |
R |
1.9602492188068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1496a1 |
Quadratic twists by: -7 |