Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310di |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-3166019297280 = -1 · 213 · 32 · 5 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2890,-61020] |
[a1,a2,a3,a4,a6] |
Generators |
[172:2266:1] |
Generators of the group modulo torsion |
j |
22689222191/26910720 |
j-invariant |
L |
15.21986937025 |
L(r)(E,1)/r! |
Ω |
0.42853686915111 |
Real period |
R |
0.68299793238795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190i1 |
Quadratic twists by: -7 |