Atkin-Lehner |
2- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
98294t |
Isogeny class |
Conductor |
98294 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
701568 |
Modular degree for the optimal curve |
Δ |
-352291508713984 = -1 · 29 · 79 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 2 3 7- -6 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5781,-884647] |
[a1,a2,a3,a4,a6] |
j |
529475129/8730112 |
j-invariant |
L |
9.4629789719176 |
L(r)(E,1)/r! |
Ω |
0.26286052824688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98294r1 |
Quadratic twists by: -7 |