Atkin-Lehner |
5+ 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
95795d |
Isogeny class |
Conductor |
95795 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74752 |
Modular degree for the optimal curve |
Δ |
1424950625 = 54 · 73 · 172 · 23 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2136,37064] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:280:1] |
Generators of the group modulo torsion |
j |
3142288418023/4154375 |
j-invariant |
L |
4.9209967388106 |
L(r)(E,1)/r! |
Ω |
1.5129381557867 |
Real period |
R |
1.6263046513623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95795w1 |
Quadratic twists by: -7 |