Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400r |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-44089920000 = -1 · 29 · 39 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,12150] |
[a1,a2,a3,a4,a6] |
Generators |
[45:270:1] |
Generators of the group modulo torsion |
j |
-5400/7 |
j-invariant |
L |
7.3974569537996 |
L(r)(E,1)/r! |
Ω |
1.0284212871736 |
Real period |
R |
0.59941850080424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400cr1 100800cr1 50400cu1 50400ch1 |
Quadratic twists by: -4 8 -3 5 |