Atkin-Lehner |
5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64925j |
Isogeny class |
Conductor |
64925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-233924815578125 = -1 · 56 · 710 · 53 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 0 1 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-43513,3552156] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-658:1] |
Generators of the group modulo torsion |
j |
-4956477625/127253 |
j-invariant |
L |
2.7890173561483 |
L(r)(E,1)/r! |
Ω |
0.55622982537203 |
Real period |
R |
1.2535364110213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2597b1 9275c1 |
Quadratic twists by: 5 -7 |