Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304r |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-286940617736192 = -1 · 215 · 710 · 31 |
Discriminant |
Eigenvalues |
2- 3 0 7- -4 -1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12005,638666] |
[a1,a2,a3,a4,a6] |
Generators |
[6879:121456:27] |
Generators of the group modulo torsion |
j |
165375/248 |
j-invariant |
L |
9.0761471802025 |
L(r)(E,1)/r! |
Ω |
0.37215987466709 |
Real period |
R |
6.0969409909662 |
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 |
3038n1 97216bx1 24304j1 |
Quadratic twists by: -4 8 -7 |