Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712db |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-28111335616 = -1 · 26 · 7 · 137 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 0 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4957,-136239] |
[a1,a2,a3,a4,a6] |
Generators |
[368:6929:1] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
3.1943776660559 |
L(r)(E,1)/r! |
Ω |
0.28444822723806 |
Real period |
R |
2.8075211597967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712l1 18928bb1 5824s1 |
Quadratic twists by: -4 8 13 |