Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075bb |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
8867963250439453125 = 311 · 511 · 75 · 61 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 3 1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-576075,-88288844] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:5062:1] |
Generators of the group modulo torsion |
j |
1856150741979136/778531753125 |
j-invariant |
L |
3.6040790175177 |
L(r)(E,1)/r! |
Ω |
0.17988477870321 |
Real period |
R |
2.5044357789228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32025f1 19215o1 |
Quadratic twists by: -3 5 |