Atkin-Lehner |
2- 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360s |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
7142706186813440 = 224 · 5 · 373 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98416,-11133504] |
[a1,a2,a3,a4,a6] |
Generators |
[23076:22755:64] |
Generators of the group modulo torsion |
j |
25737437561323249/1743824752640 |
j-invariant |
L |
7.7928242664618 |
L(r)(E,1)/r! |
Ω |
0.27069441259032 |
Real period |
R |
4.798045237109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170l1 |
Quadratic twists by: -4 |