Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970h |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7.9693923952049E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-217446819,-1234048620267] |
[a1,a2,a3,a4,a6] |
Generators |
[47238:9666621:1] |
Generators of the group modulo torsion |
j |
357957021261376014720507/25088413952000000 |
j-invariant |
L |
5.6684287122291 |
L(r)(E,1)/r! |
Ω |
0.039315437812559 |
Real period |
R |
6.0074246378178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970cb2 10710a2 |
Quadratic twists by: -3 -7 |