Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200d |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1010880 |
Modular degree for the optimal curve |
Δ |
-579695842800 = -1 · 24 · 315 · 52 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-807468,-279008613] |
[a1,a2,a3,a4,a6] |
Generators |
[584988340505552217253268017233320937152887:11355342361842081954307383329297169557981769:477990105057727884617387550375079415197] |
Generators of the group modulo torsion |
j |
-145559387462984500480/1449239607 |
j-invariant |
L |
5.3224564723348 |
L(r)(E,1)/r! |
Ω |
0.079632102768746 |
Real period |
R |
66.838075189241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60600z1 121200bk1 |
Quadratic twists by: -4 5 |