Atkin-Lehner |
2- 3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482ca |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-111653990183264256 = -1 · 213 · 35 · 77 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 1 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-271265,-56819617] |
[a1,a2,a3,a4,a6] |
Generators |
[2351:109760:1] |
Generators of the group modulo torsion |
j |
-18763629958015489/949043257344 |
j-invariant |
L |
10.896648375319 |
L(r)(E,1)/r! |
Ω |
0.1042901800995 |
Real period |
R |
4.0186128693815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16926bh1 |
Quadratic twists by: -7 |