Atkin-Lehner |
2+ 3- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
120510r |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-16600193112672000 = -1 · 28 · 318 · 53 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3609,6200365] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:1327:1] |
Generators of the group modulo torsion |
j |
-7132216495249/22771183968000 |
j-invariant |
L |
6.2306383115412 |
L(r)(E,1)/r! |
Ω |
0.3137672799187 |
Real period |
R |
3.3095858104117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998189573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40170p1 |
Quadratic twists by: -3 |