Atkin-Lehner |
2- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
26026o |
Isogeny class |
Conductor |
26026 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-65412915568 = -1 · 24 · 7 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2454,-49405] |
[a1,a2,a3,a4,a6] |
Generators |
[763485:2295725:12167] |
Generators of the group modulo torsion |
j |
-338608873/13552 |
j-invariant |
L |
10.432052746357 |
L(r)(E,1)/r! |
Ω |
0.33836276149598 |
Real period |
R |
7.7077429415063 |
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 |
154c1 |
Quadratic twists by: 13 |