Atkin-Lehner |
2+ 3+ 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238g |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
54190080 |
Modular degree for the optimal curve |
Δ |
1.2738949111894E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1865115897,30998933597933] |
[a1,a2,a3,a4,a6] |
Generators |
[25213:20212:1] |
Generators of the group modulo torsion |
j |
36454394660251328949059719875/6472056653911675633664 |
j-invariant |
L |
5.9715792326745 |
L(r)(E,1)/r! |
Ω |
0.056834121455526 |
Real period |
R |
3.7525113652651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95238bu1 |
Quadratic twists by: -3 |