Atkin-Lehner |
5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25025i |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1798584917426171875 = 58 · 7 · 116 · 135 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-346536667,-2482885838634] |
[a1,a2,a3,a4,a6] |
Generators |
[9036098361822935834:-2628787294424561430667:102017767145176] |
Generators of the group modulo torsion |
j |
294544738237514834400531201/115109434715275 |
j-invariant |
L |
5.7523625179187 |
L(r)(E,1)/r! |
Ω |
0.034991475514525 |
Real period |
R |
27.39887564678 |
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 |
5005d2 |
Quadratic twists by: 5 |