Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935q |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7603200 |
Modular degree for the optimal curve |
Δ |
1.3709024978875E+21 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10343846,-12676785199] |
[a1,a2,a3,a4,a6] |
Generators |
[-324839902128503250617817611285717975362:1898198596011180085915429885437029648365:172617933314836559761857161169233048] |
Generators of the group modulo torsion |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
9.9165019173828 |
L(r)(E,1)/r! |
Ω |
0.084240898372974 |
Real period |
R |
58.858001926083 |
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 |
88935by1 8085i1 |
Quadratic twists by: -7 -11 |