Atkin-Lehner |
2- 3+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658cr |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-3675278685333024 = -1 · 25 · 33 · 710 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,38366,-359857] |
[a1,a2,a3,a4,a6] |
Generators |
[134:4221:8] |
Generators of the group modulo torsion |
j |
22109665487/13010976 |
j-invariant |
L |
12.69723233422 |
L(r)(E,1)/r! |
Ω |
0.26013181206824 |
Real period |
R |
4.8810763286808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658ct1 |
Quadratic twists by: -7 |