Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45012j |
Isogeny class |
Conductor |
45012 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
26155008 |
Modular degree for the optimal curve |
Δ |
-1.8021889305795E+27 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 11- -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-931465300,-11131342921228] |
[a1,a2,a3,a4,a6] |
Generators |
[45423410:6346801089:1000] |
Generators of the group modulo torsion |
j |
-13460368135054929616/271414784558241 |
j-invariant |
L |
6.2836944637284 |
L(r)(E,1)/r! |
Ω |
0.013647686655622 |
Real period |
R |
9.5921238984206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45012i1 |
Quadratic twists by: -11 |