Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
44688s |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
438207243476688 = 24 · 36 · 711 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5215331,-4582539702] |
[a1,a2,a3,a4,a6] |
Generators |
[337478434060318685285825398498912404368976330:29863692000688166510896405934537689021345586982:39666455807421476952308370953254331834875] |
Generators of the group modulo torsion |
j |
8334147900493981696/232793757 |
j-invariant |
L |
6.9500374592974 |
L(r)(E,1)/r! |
Ω |
0.099903126367201 |
Real period |
R |
69.567767416521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344bg1 6384o1 |
Quadratic twists by: -4 -7 |