Atkin-Lehner |
2+ 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328a |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-4703891827712 = -1 · 210 · 7 · 113 · 793 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 11- 3 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3312,-128668] |
[a1,a2,a3,a4,a6] |
Generators |
[94:632:1] |
Generators of the group modulo torsion |
j |
-3924875279812/4593644363 |
j-invariant |
L |
10.09720168692 |
L(r)(E,1)/r! |
Ω |
0.30107608322574 |
Real period |
R |
0.9315845403413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001321 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48664d1 |
Quadratic twists by: -4 |