Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430bf |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
98589960 = 23 · 37 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,405] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
7649089/2760 |
j-invariant |
L |
4.3723740648417 |
L(r)(E,1)/r! |
Ω |
1.7351195854521 |
Real period |
R |
1.2599633175727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33810dk1 101430bu1 |
Quadratic twists by: -3 -7 |