Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600d |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
972405000000000 = 29 · 34 · 510 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-255208,-49516088] |
[a1,a2,a3,a4,a6] |
Generators |
[-2326:1197:8] |
Generators of the group modulo torsion |
j |
153125000/81 |
j-invariant |
L |
4.5086350054103 |
L(r)(E,1)/r! |
Ω |
0.21241717583703 |
Real period |
R |
3.5375631432548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999378931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600cf1 117600hk1 117600cx1 |
Quadratic twists by: -4 5 -7 |