Atkin-Lehner |
2+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
35770o |
Isogeny class |
Conductor |
35770 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
317520 |
Modular degree for the optimal curve |
Δ |
1341933906250 = 2 · 57 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 5 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119569,-15883925] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:102:1] |
Generators of the group modulo torsion |
j |
1606916486137689/11406250 |
j-invariant |
L |
3.0744933863001 |
L(r)(E,1)/r! |
Ω |
0.25674081772743 |
Real period |
R |
1.7107265793874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730c1 |
Quadratic twists by: -7 |