Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410i |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-540184380120 = -1 · 23 · 32 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 6 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1692,-22392] |
[a1,a2,a3,a4,a6] |
Generators |
[21:141:1] |
Generators of the group modulo torsion |
j |
2496791/2520 |
j-invariant |
L |
3.4373629004635 |
L(r)(E,1)/r! |
Ω |
0.50249816153171 |
Real period |
R |
3.4202741060642 |
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 |
76230ff1 127050hl1 25410bn1 |
Quadratic twists by: -3 5 -11 |