Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bv |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-9182099767558144 = -1 · 220 · 710 · 31 |
Discriminant |
Eigenvalues |
2- -2 2 7- -6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100417,13053375] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1280:1] |
Generators of the group modulo torsion |
j |
-3630961153/297724 |
j-invariant |
L |
4.7802355713176 |
L(r)(E,1)/r! |
Ω |
0.40219917714671 |
Real period |
R |
2.9713111347655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216y1 24304p1 13888v1 |
Quadratic twists by: -4 8 -7 |