Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520t |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
226121378000 = 24 · 53 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1535,-3058] |
[a1,a2,a3,a4,a6] |
Generators |
[2298:18620:27] |
Generators of the group modulo torsion |
j |
212629504/120125 |
j-invariant |
L |
9.3985491430436 |
L(r)(E,1)/r! |
Ω |
0.82198052091104 |
Real period |
R |
3.8113430292985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760ba1 2480d1 |
Quadratic twists by: -4 -7 |