Atkin-Lehner |
2- 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100i |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
262483200 = 28 · 33 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6853,220657] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1:1] |
Generators of the group modulo torsion |
j |
5562234634240/41013 |
j-invariant |
L |
5.322245905802 |
L(r)(E,1)/r! |
Ω |
1.5637771043632 |
Real period |
R |
1.7017277882417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65100bd1 |
Quadratic twists by: 5 |