Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304h |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
42205184 = 218 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,-1360] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:4:1] [88:812:1] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
5.3912143467434 |
L(r)(E,1)/r! |
Ω |
1.2202320070382 |
Real period |
R |
4.4181879475766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10304w1 161a2 92736cm1 72128b1 |
Quadratic twists by: -4 8 -3 -7 |