Atkin-Lehner |
2- 3+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25194s |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
44198051069952 = 214 · 32 · 132 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 -2 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-154870,23391731] |
[a1,a2,a3,a4,a6] |
Generators |
[5979:533:27] [263:-1101:1] |
Generators of the group modulo torsion |
j |
410795599234646890081/44198051069952 |
j-invariant |
L |
7.3298481442121 |
L(r)(E,1)/r! |
Ω |
0.61456269237037 |
Real period |
R |
0.14198729932391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75582f1 |
Quadratic twists by: -3 |