Atkin-Lehner |
3+ 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825h |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
421200 |
Modular degree for the optimal curve |
Δ |
-58499881794140625 = -1 · 35 · 58 · 233 · 373 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92013,-15875844] |
[a1,a2,a3,a4,a6] |
j |
-220552276355185/149759697393 |
j-invariant |
L |
1.1973503840339 |
L(r)(E,1)/r! |
Ω |
0.13303893163064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63825j1 |
Quadratic twists by: 5 |