Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600l |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
6.408666682317E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -5 -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4101833,-2955105963] |
[a1,a2,a3,a4,a6] |
Generators |
[40028:7997859:1] |
Generators of the group modulo torsion |
j |
76323405880990720/6408666682317 |
j-invariant |
L |
2.2937280845569 |
L(r)(E,1)/r! |
Ω |
0.10665214956512 |
Real period |
R |
3.5844379667485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31800bd1 63600o1 |
Quadratic twists by: -4 5 |