Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97216bd |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-18364199535116288 = -1 · 221 · 710 · 31 |
Discriminant |
Eigenvalues |
2+ 3 0 7- -4 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48020,-5109328] |
[a1,a2,a3,a4,a6] |
Generators |
[19030175262:1013282787392:6751269] |
Generators of the group modulo torsion |
j |
165375/248 |
j-invariant |
L |
13.019443882824 |
L(r)(E,1)/r! |
Ω |
0.20511945895978 |
Real period |
R |
15.868123810449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216bx1 3038n1 97216b1 |
Quadratic twists by: -4 8 -7 |