Atkin-Lehner |
2+ 3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34122h |
Isogeny class |
Conductor |
34122 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-191838797568 = -1 · 28 · 32 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1817,-37275] |
[a1,a2,a3,a4,a6] |
Generators |
[77:497:1] |
Generators of the group modulo torsion |
j |
-374805361/108288 |
j-invariant |
L |
2.9441882682784 |
L(r)(E,1)/r! |
Ω |
0.36021417861012 |
Real period |
R |
4.0867190176124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102366bi1 282b1 |
Quadratic twists by: -3 -11 |