Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103600bn |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-47526707200 = -1 · 220 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21728,1225588] |
[a1,a2,a3,a4,a6] |
Generators |
[84:-14:1] |
Generators of the group modulo torsion |
j |
-11079062208265/464128 |
j-invariant |
L |
4.7854693098311 |
L(r)(E,1)/r! |
Ω |
1.0631858656046 |
Real period |
R |
1.1252663987074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950k1 103600bz1 |
Quadratic twists by: -4 5 |