Atkin-Lehner |
2- 3- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768q |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-149494896 = -1 · 24 · 34 · 31 · 612 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -6 0 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2202,39051] |
[a1,a2,a3,a4,a6] |
Generators |
[234:183:8] [51:249:1] |
Generators of the group modulo torsion |
j |
-73833403019008/9343431 |
j-invariant |
L |
10.375911498374 |
L(r)(E,1)/r! |
Ω |
1.7616560461017 |
Real period |
R |
0.73623278518313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995421 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22692b1 |
Quadratic twists by: -4 |