Atkin-Lehner |
2+ 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224m |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
4.2156710538038E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8375729,-9274773459] |
[a1,a2,a3,a4,a6] |
j |
253835085064704459338752/1646746505392095261 |
j-invariant |
L |
3.9950862207071 |
L(r)(E,1)/r! |
Ω |
0.088779693805513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112e1 |
Quadratic twists by: -4 |