Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
113760bc |
Isogeny class |
Conductor |
113760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-21299284800000 = -1 · 29 · 33 · 55 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 3 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3933,-200726] |
[a1,a2,a3,a4,a6] |
Generators |
[38:60:1] |
Generators of the group modulo torsion |
j |
486700537896/1540746875 |
j-invariant |
L |
9.2930502941538 |
L(r)(E,1)/r! |
Ω |
0.34793717377197 |
Real period |
R |
2.6708989470791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113760h1 113760b1 |
Quadratic twists by: -4 -3 |