Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702a |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
-220524908530672928 = -1 · 25 · 74 · 132 · 198 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ -3 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-266787,-57672834] |
[a1,a2,a3,a4,a6] |
Generators |
[8406:225211:8] |
Generators of the group modulo torsion |
j |
-123647845897/12984608 |
j-invariant |
L |
2.7779847646165 |
L(r)(E,1)/r! |
Ω |
0.10441378216471 |
Real period |
R |
6.6513842978439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702s1 |
Quadratic twists by: -19 |