Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216y |
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 |
[7837099877484075:81511703582065280:18607518329499] |
Generators of the group modulo torsion |
j |
-3630961153/297724 |
j-invariant |
L |
13.000728195667 |
L(r)(E,1)/r! |
Ω |
0.13347002390871 |
Real period |
R |
24.351400808776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97216bv1 3038l1 13888e1 |
Quadratic twists by: -4 8 -7 |