Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200bh |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-188349688800000000 = -1 · 211 · 37 · 58 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194208,39066912] |
[a1,a2,a3,a4,a6] |
Generators |
[-382:7574:1] |
Generators of the group modulo torsion |
j |
-1012598567810/235437111 |
j-invariant |
L |
5.9689906563317 |
L(r)(E,1)/r! |
Ω |
0.30457279884359 |
Real period |
R |
4.899477800147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54600co1 109200br1 |
Quadratic twists by: -4 5 |