Atkin-Lehner |
3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345a |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-1.7928905051162E+25 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,33505932,-189536694237] |
[a1,a2,a3,a4,a6] |
Generators |
[51376354562449408700739282:939588631070313925298934483:12962463389109423175384] |
Generators of the group modulo torsion |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
4.5830138362865 |
L(r)(E,1)/r! |
Ω |
0.034906708263731 |
Real period |
R |
32.823302914015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035bh1 1785n1 |
Quadratic twists by: -3 17 |