Atkin-Lehner |
7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2597b |
Isogeny class |
Conductor |
2597 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-14971188197 = -1 · 710 · 53 |
Discriminant |
Eigenvalues |
1 1 0 7- 0 -1 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1741,28417] |
[a1,a2,a3,a4,a6] |
j |
-4956477625/127253 |
j-invariant |
L |
2.4875354012894 |
L(r)(E,1)/r! |
Ω |
1.2437677006447 |
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 |
41552bf1 23373h1 64925j1 371a1 |
Quadratic twists by: -4 -3 5 -7 |