Atkin-Lehner |
3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
41475t |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
7224737625 = 33 · 53 · 73 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-833,8232] |
[a1,a2,a3,a4,a6] |
Generators |
[7:49:1] [-154:1127:8] |
Generators of the group modulo torsion |
j |
511424215973/57797901 |
j-invariant |
L |
7.0544508563461 |
L(r)(E,1)/r! |
Ω |
1.2818608039491 |
Real period |
R |
0.61147658974562 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124425z1 41475i1 |
Quadratic twists by: -3 5 |