Atkin-Lehner |
3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725bd |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.0200031377849E+23 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18505875,-34278627344] |
[a1,a2,a3,a4,a6] |
Generators |
[12100:-1230188:1] [104050:11100121:8] |
Generators of the group modulo torsion |
j |
-492260533270728704/71638080458967 |
j-invariant |
L |
4.8780990725792 |
L(r)(E,1)/r! |
Ω |
0.036104198655049 |
Real period |
R |
16.888960474874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25575g2 76725bc2 |
Quadratic twists by: -3 5 |