Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200ee |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
3801600 |
Modular degree for the optimal curve |
Δ |
2.920235699952E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1792208,-421130412] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:16362:1] |
Generators of the group modulo torsion |
j |
397895664015985/182514731247 |
j-invariant |
L |
5.6772596189348 |
L(r)(E,1)/r! |
Ω |
0.1363050487688 |
Real period |
R |
0.63107775809284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7575e1 121200cc1 |
Quadratic twists by: -4 5 |