Atkin-Lehner |
7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41699d |
Isogeny class |
Conductor |
41699 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29040 |
Modular degree for the optimal curve |
Δ |
2302743877 = 76 · 232 · 37 |
Discriminant |
Eigenvalues |
-2 -1 0 7- 1 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1388,-19314] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:9:1] [-21:11:1] |
Generators of the group modulo torsion |
j |
2515456000/19573 |
j-invariant |
L |
3.8931468870002 |
L(r)(E,1)/r! |
Ω |
0.78249195333452 |
Real period |
R |
2.4876593749041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
851a1 |
Quadratic twists by: -7 |