Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475bp |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2892960 |
Modular degree for the optimal curve |
Δ |
-3.558205193792E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,786042,-101794381] |
[a1,a2,a3,a4,a6] |
Generators |
[10026:427325:8] |
Generators of the group modulo torsion |
j |
954060800/632043 |
j-invariant |
L |
14.736545218713 |
L(r)(E,1)/r! |
Ω |
0.11741555004332 |
Real period |
R |
2.9882764601085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bb1 62475k1 |
Quadratic twists by: 5 -7 |