Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345t |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-8.2628242233817E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,894279,-1344074760] |
[a1,a2,a3,a4,a6] |
j |
16098893047132187167/168182866341984375 |
j-invariant |
L |
1.7207510290842 |
L(r)(E,1)/r! |
Ω |
0.078215955867431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035bd1 30345q1 |
Quadratic twists by: -3 17 |