Atkin-Lehner |
3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
26901l |
Isogeny class |
Conductor |
26901 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-525487590129351969 = -1 · 321 · 77 · 61 |
Discriminant |
Eigenvalues |
-1 3- -1 7- 0 -2 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19584158,-33353541210] |
[a1,a2,a3,a4,a6] |
Generators |
[1349157374:-56372179194:226981] |
Generators of the group modulo torsion |
j |
-9685513163415099529/6126983289 |
j-invariant |
L |
2.9008395598252 |
L(r)(E,1)/r! |
Ω |
0.035883377847995 |
Real period |
R |
10.105095080908 |
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 |
8967c1 3843i1 |
Quadratic twists by: -3 -7 |