Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200bk |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4898080000000000 = -1 · 214 · 510 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11- 0 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,38125,-1768750] |
[a1,a2,a3,a4,a6] |
Generators |
[151:2726:1] |
Generators of the group modulo torsion |
j |
153212175/122452 |
j-invariant |
L |
7.1672999322099 |
L(r)(E,1)/r! |
Ω |
0.24023623631267 |
Real period |
R |
4.9723971798831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650e1 101200ck1 |
Quadratic twists by: -4 5 |