Atkin-Lehner |
2+ 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25350w |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-61081916388480000 = -1 · 210 · 32 · 54 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 5 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-69800,13819200] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3176:1] |
Generators of the group modulo torsion |
j |
-5674525/9216 |
j-invariant |
L |
3.8704185544056 |
L(r)(E,1)/r! |
Ω |
0.31420164854786 |
Real period |
R |
1.5397828799966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050gj1 25350de2 25350cp1 |
Quadratic twists by: -3 5 13 |