Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498j |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14162317158209472 = 26 · 32 · 7 · 378 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3267832,-2273988346] |
[a1,a2,a3,a4,a6] |
Generators |
[-314230469:137908217:300763] |
Generators of the group modulo torsion |
j |
1504154129818033/5519808 |
j-invariant |
L |
5.1204168444131 |
L(r)(E,1)/r! |
Ω |
0.11228835922691 |
Real period |
R |
11.400150647194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1554m2 |
Quadratic twists by: 37 |