Atkin-Lehner |
2- 3+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702r |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
296960 |
Modular degree for the optimal curve |
Δ |
-37383468358828032 = -1 · 232 · 35 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-207522,-37643601] |
[a1,a2,a3,a4,a6] |
Generators |
[569:5091:1] |
Generators of the group modulo torsion |
j |
-988362537658181052193/37383468358828032 |
j-invariant |
L |
9.0689872149356 |
L(r)(E,1)/r! |
Ω |
0.11159396253803 |
Real period |
R |
1.2698081689238 |
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 |
92106x1 |
Quadratic twists by: -3 |