Atkin-Lehner |
2+ 3+ 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830a |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
4981677120 = 26 · 33 · 5 · 73 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-435,-715] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:30:1] |
Generators of the group modulo torsion |
j |
337589698347/184506560 |
j-invariant |
L |
3.2211759204339 |
L(r)(E,1)/r! |
Ω |
1.1162870369587 |
Real period |
R |
1.4428080833089 |
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 |
25830u1 129150ci1 |
Quadratic twists by: -3 5 |