Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680bb |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
117411840 |
Modular degree for the optimal curve |
Δ |
-9.3097861232687E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,920712575,-9994047985343] |
[a1,a2,a3,a4,a6] |
Generators |
[73764367:633534053184:1] |
Generators of the group modulo torsion |
j |
2634183353408675149177479928/2841121253438921829893265 |
j-invariant |
L |
6.5102835281662 |
L(r)(E,1)/r! |
Ω |
0.018304415576052 |
Real period |
R |
12.70240642428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680cz1 63840bp1 |
Quadratic twists by: -4 8 |