Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520k |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
26687809565121600 = 26 · 310 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-972470,-368707968] |
[a1,a2,a3,a4,a6] |
Generators |
[-238072953928:-17225835516:423564751] |
Generators of the group modulo torsion |
j |
13507798771700416/3544416225 |
j-invariant |
L |
4.6183740285746 |
L(r)(E,1)/r! |
Ω |
0.1520328031251 |
Real period |
R |
15.188741947928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23520w1 47040gh2 70560dh1 117600hh1 |
Quadratic twists by: -4 8 -3 5 |