Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950i |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
41871656250000 = 24 · 32 · 59 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-388200,92934000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:9945:1] |
Generators of the group modulo torsion |
j |
3312546735495509/21438288 |
j-invariant |
L |
2.0032753215106 |
L(r)(E,1)/r! |
Ω |
0.57398532090295 |
Real period |
R |
0.5816859910747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600du1 23850da1 7950by1 |
Quadratic twists by: -4 -3 5 |