Atkin-Lehner |
5+ 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
28325d |
Isogeny class |
Conductor |
28325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-380340576171875 = -1 · 515 · 112 · 103 |
Discriminant |
Eigenvalues |
-1 -1 5+ -4 11- 4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-49688,-4385844] |
[a1,a2,a3,a4,a6] |
Generators |
[340:4092:1] |
Generators of the group modulo torsion |
j |
-868277967766201/24341796875 |
j-invariant |
L |
2.1349857092422 |
L(r)(E,1)/r! |
Ω |
0.15962052958543 |
Real period |
R |
3.3438457364901 |
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 |
5665a1 |
Quadratic twists by: 5 |