Atkin-Lehner |
3+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425b |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
603637958253515625 = 34 · 58 · 118 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-215875,9559000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2530:55715:8] |
Generators of the group modulo torsion |
j |
71205555889646641/38632829328225 |
j-invariant |
L |
6.1610915105105 |
L(r)(E,1)/r! |
Ω |
0.25258558064474 |
Real period |
R |
1.5245059451955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14685g1 |
Quadratic twists by: 5 |