Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446k |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-404827385424 = -1 · 24 · 3 · 79 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1837,5181] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1313:1] |
Generators of the group modulo torsion |
j |
16974593/10032 |
j-invariant |
L |
3.1057748494184 |
L(r)(E,1)/r! |
Ω |
0.57643255967912 |
Real period |
R |
1.3469810117115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446bh1 |
Quadratic twists by: -7 |