Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
7650ba |
Isogeny class |
Conductor |
7650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-119654757046800 = -1 · 24 · 36 · 52 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -4 -3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,12213,81301] |
[a1,a2,a3,a4,a6] |
Generators |
[450:9601:1] |
Generators of the group modulo torsion |
j |
11053587253415/6565418768 |
j-invariant |
L |
3.4302175165466 |
L(r)(E,1)/r! |
Ω |
0.35958711631358 |
Real period |
R |
0.68138018794454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200gg1 850f1 7650cm1 |
Quadratic twists by: -4 -3 5 |