Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400co |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
151680 |
Modular degree for the optimal curve |
Δ |
190828780800 = 28 · 3 · 52 · 7 · 175 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35833,-2598803] |
[a1,a2,a3,a4,a6] |
Generators |
[-3244119:272002:29791] |
Generators of the group modulo torsion |
j |
795070000000000/29816997 |
j-invariant |
L |
6.3007728410332 |
L(r)(E,1)/r! |
Ω |
0.34699940454915 |
Real period |
R |
9.078938982688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400bw1 |
Quadratic twists by: 5 |