Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
51304c |
Isogeny class |
Conductor |
51304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20367360 |
Modular degree for the optimal curve |
Δ |
-4.3979746577817E+25 |
Discriminant |
Eigenvalues |
2+ 3 -1 -4 11- 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51447748,349255097444] |
[a1,a2,a3,a4,a6] |
Generators |
[857010:149589154:27] |
Generators of the group modulo torsion |
j |
-33206778390345698304/96974298412302179 |
j-invariant |
L |
8.4867971599899 |
L(r)(E,1)/r! |
Ω |
0.056399437154811 |
Real period |
R |
9.4047892896302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102608e1 4664e1 |
Quadratic twists by: -4 -11 |