Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650r |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-426562500 = -1 · 22 · 3 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,175,-375] |
[a1,a2,a3,a4,a6] |
Generators |
[10:45:1] |
Generators of the group modulo torsion |
j |
1503815/1092 |
j-invariant |
L |
2.749589493261 |
L(r)(E,1)/r! |
Ω |
0.9416740871559 |
Real period |
R |
0.48664917278077 |
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 |
109200gp1 40950fg1 13650co1 95550fo1 |
Quadratic twists by: -4 -3 5 -7 |