Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400bu |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-11195520000 = -1 · 210 · 3 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,5088] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:60:1] |
Generators of the group modulo torsion |
j |
-100/17493 |
j-invariant |
L |
7.5979095029713 |
L(r)(E,1)/r! |
Ω |
1.0171399902336 |
Real period |
R |
1.2449793171265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71400cr1 |
Quadratic twists by: 5 |