Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578l |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46448640 |
Modular degree for the optimal curve |
Δ |
-3.2980277522829E+29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1839422916,-41053818355376] |
[a1,a2,a3,a4,a6] |
Generators |
[345077757231960360803153453229760595880:1299284789139479283844422435950409488153644:24334523871070307275809295896673] |
Generators of the group modulo torsion |
j |
-8025141932308829504241073/3845373573888057802752 |
j-invariant |
L |
4.7800109266292 |
L(r)(E,1)/r! |
Ω |
0.011268467712901 |
Real period |
R |
53.024189362019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526r1 3654g1 |
Quadratic twists by: -3 -7 |