Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40020j |
Isogeny class |
Conductor |
40020 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-112360839843750000 = -1 · 24 · 3 · 516 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -1 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,108050,8592473] |
[a1,a2,a3,a4,a6] |
Generators |
[316:8625:1] |
Generators of the group modulo torsion |
j |
8719147482798066944/7022552490234375 |
j-invariant |
L |
8.0935923895734 |
L(r)(E,1)/r! |
Ω |
0.21481863512955 |
Real period |
R |
0.39246247890548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120060f1 |
Quadratic twists by: -3 |