Atkin-Lehner |
2- 7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61642s |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
71808 |
Modular degree for the optimal curve |
Δ |
590715286 = 2 · 73 · 17 · 373 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 4 -4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7491,246427] |
[a1,a2,a3,a4,a6] |
Generators |
[398:-189:8] |
Generators of the group modulo torsion |
j |
135535357847863/1722202 |
j-invariant |
L |
6.865211923604 |
L(r)(E,1)/r! |
Ω |
1.4849288230081 |
Real period |
R |
2.3116299641174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61642w1 |
Quadratic twists by: -7 |