Atkin-Lehner |
2- 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
30438o |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
191488 |
Modular degree for the optimal curve |
Δ |
-418809051611136 = -1 · 222 · 310 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 3 -5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15134,1221549] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:291:1] [-103:1347:1] |
Generators of the group modulo torsion |
j |
-525811971027097/574498013184 |
j-invariant |
L |
9.6290839073521 |
L(r)(E,1)/r! |
Ω |
0.48210077977414 |
Real period |
R |
0.22696791340884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146a1 |
Quadratic twists by: -3 |