Atkin-Lehner |
2+ 3+ 11- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26598c |
Isogeny class |
Conductor |
26598 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
222656 |
Modular degree for the optimal curve |
Δ |
-1029507012105858 = -1 · 2 · 37 · 112 · 137 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -3 11- 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5038,-1535490] |
[a1,a2,a3,a4,a6] |
Generators |
[121:869:1] |
Generators of the group modulo torsion |
j |
14137203231005399/1029507012105858 |
j-invariant |
L |
1.5476777795958 |
L(r)(E,1)/r! |
Ω |
0.23467141056732 |
Real period |
R |
0.47107746342435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79794w1 |
Quadratic twists by: -3 |