Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763h |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1907712 |
Modular degree for the optimal curve |
Δ |
9.4803921714368E+18 |
Discriminant |
Eigenvalues |
1 3+ 3 7- -2 0 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2372311,-1399554428] |
[a1,a2,a3,a4,a6] |
Generators |
[-13437600:43371094:15625] |
Generators of the group modulo torsion |
j |
160261033/1029 |
j-invariant |
L |
7.4960346112649 |
L(r)(E,1)/r! |
Ω |
0.12169552813921 |
Real period |
R |
5.133052629817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109d1 77763j1 |
Quadratic twists by: -7 -23 |