Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325cd |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
-1.1564953643762E+20 |
Discriminant |
Eigenvalues |
2 3- 5- 3 -2 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,49515,-517386969] |
[a1,a2,a3,a4,a6] |
Generators |
[8741244189569469280:176475458292371799161:9297032230043648] |
Generators of the group modulo torsion |
j |
147331808874496/1269130715364807 |
j-invariant |
L |
15.601960684426 |
L(r)(E,1)/r! |
Ω |
0.086390715529415 |
Real period |
R |
22.574706941618 |
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 |
32775bk1 98325cj1 |
Quadratic twists by: -3 5 |