Atkin-Lehner |
2+ 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
69350c |
Isogeny class |
Conductor |
69350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
380537320000000 = 29 · 57 · 194 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 1 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19150,-407500] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:250:1] |
Generators of the group modulo torsion |
j |
49710193744609/24354388480 |
j-invariant |
L |
3.6988988682394 |
L(r)(E,1)/r! |
Ω |
0.42652887597657 |
Real period |
R |
1.08401185621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13870d1 |
Quadratic twists by: 5 |