Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cj |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
148 |
Product of Tamagawa factors cp |
deg |
1790208 |
Modular degree for the optimal curve |
Δ |
-2.1230946177981E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3288265,2398392695] |
[a1,a2,a3,a4,a6] |
Generators |
[2255:79224:1] |
Generators of the group modulo torsion |
j |
-80246864114981006021089/4332846158771650560 |
j-invariant |
L |
8.809317030831 |
L(r)(E,1)/r! |
Ω |
0.17548326638524 |
Real period |
R |
0.33919138614435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570co1 |
Quadratic twists by: -7 |