Atkin-Lehner |
3- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
61677o |
Isogeny class |
Conductor |
61677 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87040 |
Modular degree for the optimal curve |
Δ |
-15422148819 = -1 · 38 · 74 · 11 · 89 |
Discriminant |
Eigenvalues |
2 3- 3 7- 11- -5 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-741,-9797] |
[a1,a2,a3,a4,a6] |
Generators |
[514:3643:8] |
Generators of the group modulo torsion |
j |
-61723537408/21155211 |
j-invariant |
L |
15.536809852 |
L(r)(E,1)/r! |
Ω |
0.44974073478627 |
Real period |
R |
4.3182684627951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20559c1 |
Quadratic twists by: -3 |