Atkin-Lehner |
2+ 3+ 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
26130h |
Isogeny class |
Conductor |
26130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
850845060 = 22 · 36 · 5 · 13 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-942,10656] |
[a1,a2,a3,a4,a6] |
Generators |
[15:6:1] |
Generators of the group modulo torsion |
j |
92596929932521/850845060 |
j-invariant |
L |
2.9077734957924 |
L(r)(E,1)/r! |
Ω |
1.5903618356999 |
Real period |
R |
0.91418614007192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78390bq1 |
Quadratic twists by: -3 |