Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bx |
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 |
[506:12608:1] |
Generators of the group modulo torsion |
j |
165375/248 |
j-invariant |
L |
4.0996520384221 |
L(r)(E,1)/r! |
Ω |
0.26315677106263 |
Real period |
R |
3.8946860740135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216bd1 24304r1 97216bh1 |
Quadratic twists by: -4 8 -7 |