Atkin-Lehner |
2- 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25080m |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2422784 |
Modular degree for the optimal curve |
Δ |
-1.3117836465901E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -4 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7493771,-9626093604] |
[a1,a2,a3,a4,a6] |
j |
-2908740915128499964708864/819864779118817432275 |
j-invariant |
L |
1.4389375053347 |
L(r)(E,1)/r! |
Ω |
0.044966797041717 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160m1 75240s1 125400bk1 |
Quadratic twists by: -4 -3 5 |