Atkin-Lehner |
2- 3+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520cb |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
3.301211897856E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1902760,507007600] |
[a1,a2,a3,a4,a6] |
Generators |
[-828:38912:1] |
Generators of the group modulo torsion |
j |
186001322269702352041/80595993600000000 |
j-invariant |
L |
5.2517790811433 |
L(r)(E,1)/r! |
Ω |
0.15437149710933 |
Real period |
R |
1.4175163973054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690n1 |
Quadratic twists by: -4 |