Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232u |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
74748640541626368 = 212 · 36 · 192 · 375 |
Discriminant |
Eigenvalues |
2- 3- 2 1 3 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105984,1826928] |
[a1,a2,a3,a4,a6] |
Generators |
[768123044:7483493159:45118016] |
Generators of the group modulo torsion |
j |
44091731607552/25033168477 |
j-invariant |
L |
9.5180438104187 |
L(r)(E,1)/r! |
Ω |
0.29634034487038 |
Real period |
R |
16.059311508842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6327c1 11248g1 |
Quadratic twists by: -4 -3 |