Atkin-Lehner |
3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075m |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-4863796875 = -1 · 36 · 56 · 7 · 61 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 2 -2 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,3906] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:365:8] [0:62:1] |
Generators of the group modulo torsion |
j |
-262144/427 |
j-invariant |
L |
9.5238696323999 |
L(r)(E,1)/r! |
Ω |
1.226721081537 |
Real period |
R |
1.9409199399696 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10675a1 3843h1 |
Quadratic twists by: -3 5 |