Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520cy |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
1045701959680 = 213 · 5 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-461400,120478868] |
[a1,a2,a3,a4,a6] |
Generators |
[268:4018:1] |
Generators of the group modulo torsion |
j |
22542871522249/2170 |
j-invariant |
L |
7.3601658417819 |
L(r)(E,1)/r! |
Ω |
0.67240981152076 |
Real period |
R |
2.7364880940465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190o1 17360q1 |
Quadratic twists by: -4 -7 |