Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970i |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-535386433730400000 = -1 · 28 · 39 · 55 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33819,35293733] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-5786:1] |
Generators of the group modulo torsion |
j |
-1847284083/231200000 |
j-invariant |
L |
6.0343092475576 |
L(r)(E,1)/r! |
Ω |
0.23984273500814 |
Real period |
R |
1.2579720725465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cc1 1530a1 |
Quadratic twists by: -3 -7 |