Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30135bh |
Isogeny class |
Conductor |
30135 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
370717003125 = 310 · 55 · 72 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -4 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2760,-48436] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:67:1] |
Generators of the group modulo torsion |
j |
47469233803264/7565653125 |
j-invariant |
L |
3.1527226299847 |
L(r)(E,1)/r! |
Ω |
0.66574679530526 |
Real period |
R |
0.094712363685931 |
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 |
90405t1 30135b1 |
Quadratic twists by: -3 -7 |