Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960p |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
812047680 = 26 · 36 · 5 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237,304] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:22:1] |
Generators of the group modulo torsion |
j |
31554496/17405 |
j-invariant |
L |
7.6514859391265 |
L(r)(E,1)/r! |
Ω |
1.3798279034329 |
Real period |
R |
2.7726232797255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84960u1 9440d1 |
Quadratic twists by: -4 -3 |