Atkin-Lehner |
5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
70225a |
Isogeny class |
Conductor |
70225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
202176 |
Modular degree for the optimal curve |
Δ |
29367778495925 = 52 · 537 |
Discriminant |
Eigenvalues |
0 2 5+ -1 -1 6 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-37453,2790143] |
[a1,a2,a3,a4,a6] |
Generators |
[501:10465:1] |
Generators of the group modulo torsion |
j |
10485760/53 |
j-invariant |
L |
8.2453544127628 |
L(r)(E,1)/r! |
Ω |
0.66609329629177 |
Real period |
R |
6.1893389843884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70225i1 1325a1 |
Quadratic twists by: 5 53 |