Atkin-Lehner |
2+ 3+ 5- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910b |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
264192 |
Modular degree for the optimal curve |
Δ |
-72629438983740 = -1 · 22 · 39 · 5 · 174 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -6 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1011,-410095] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-1331:1] [104:849:1] |
Generators of the group modulo torsion |
j |
5802888573/3689957780 |
j-invariant |
L |
7.3951265640004 |
L(r)(E,1)/r! |
Ω |
0.28706375362446 |
Real period |
R |
3.2201586192323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999682 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71910u1 |
Quadratic twists by: -3 |