Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520ci |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-73548609565491200 = -1 · 221 · 52 · 72 · 315 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -4 -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-779480,264945428] |
[a1,a2,a3,a4,a6] |
j |
-260965544428316329/366453132800 |
j-invariant |
L |
1.3784374616662 |
L(r)(E,1)/r! |
Ω |
0.34460961436485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190p1 121520be1 |
Quadratic twists by: -4 -7 |